30153796560 has 320 divisors, whose sum is σ = 105813941760. Its totient is φ = 7891107840.

The previous prime is 30153796553. The next prime is 30153796577. The reversal of 30153796560 is 6569735103.

30153796560 is a `hidden beast` number, since 3 + 0 + 15 + 3 + 79 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54135802 + ... + 54136358.

It is an arithmetic number, because the mean of its divisors is an integer number (330668568).

Almost surely, 2^30153796560 is an apocalyptic number.

30153796560 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 30153796560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52906970880).

30153796560 is an abundant number, since it is smaller than the sum of its proper divisors (75660145200).

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

30153796560 is a wasteful number, since it uses less digits than its factorization.

30153796560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 30153796560 in words is "thirty billion, one hundred fifty-three million, seven hundred ninety-six thousand, five hundred sixty".