30189530250000 has 2205 divisors, whose sum is σ = 123837470973363. Its totient is φ = 7120872000000.

The previous prime is 30189530249947. The next prime is 30189530250053. The reversal of 30189530250000 is 5203598103.

The square root of 30189530250000 is 5494500.

It is a perfect power (a square), and thus also a powerful number.

30189530250000 is a `hidden beast` number, since 30 + 1 + 8 + 95 + 30 + 2 + 500 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30189530249947) and next prime (30189530250053).

It can be written as a sum of positive squares in 10 ways, for example, as 30163426031376 + 26104218624 = 5492124^2 + 161568^2 .

It is a super-2 number, since 2×30189530250000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 440 ways as a sum of consecutive naturals, for example, 815933249982 + ... + 815933250018.

Almost surely, 2^{30189530250000} is an apocalyptic number.

30189530250000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30189530250000 is the 5494500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30189530250000

30189530250000 is an abundant number, since it is smaller than the sum of its proper divisors (93647940723363).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30189530250000 is an frugal number, since it uses more digits than its factorization.

30189530250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

30189530250000 divided by its sum of digits (36) gives a square (838598062500 = 915750²).

30189530250000 divided by its product of nonzero digits (32400) gives a square (931775625 = 30525²).

The spelling of 30189530250000 in words is "thirty trillion, one hundred eighty-nine billion, five hundred thirty million, two hundred fifty thousand".