30027442500 has 480 divisors, whose sum is σ = 109091579520. Its totient is φ = 7076160000.

The previous prime is 30027442493. The next prime is 30027442553. The reversal of 30027442500 is 524472003.

30027442500 is a `hidden beast` number, since 300 + 274 + 42 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 27471954 + ... + 27473046.

It is an arithmetic number, because the mean of its divisors is an integer number (227274124).

Almost surely, 2^30027442500 is an apocalyptic number.

30027442500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54545789760).

30027442500 is an abundant number, since it is smaller than the sum of its proper divisors (79064137020).

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

30027442500 is a wasteful number, since it uses less digits than its factorization.

30027442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 30027442500 in words is "thirty billion, twenty-seven million, four hundred forty-two thousand, five hundred".