30856152000 has 448 divisors, whose sum is σ = 108183029760. Its totient is φ = 7727616000.

The previous prime is 30856151983. The next prime is 30856152001. The reversal of 30856152000 is 25165803.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30856152001) by changing a digit.

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, 71591785 + ... + 71592215.

Almost surely, 2^30856152000 is an apocalyptic number.

30856152000 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 30856152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54091514880).

30856152000 is an abundant number, since it is smaller than the sum of its proper divisors (77326877760).

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

30856152000 is a wasteful number, since it uses less digits than its factorization.

30856152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 30856152000 in words is "thirty billion, eight hundred fifty-six million, one hundred fifty-two thousand".