30997612800 has 1296 divisors, whose sum is σ = 143527063680. Its totient is φ = 6193152000.

The previous prime is 30997612799. The next prime is 30997612837. The reversal of 30997612800 is 821679903.

30997612800 is a `hidden beast` number, since 309 + 9 + 7 + 61 + 280 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128620680 + ... + 128620920.

Almost surely, 2^30997612800 is an apocalyptic number.

30997612800 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 30997612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71763531840).

30997612800 is an abundant number, since it is smaller than the sum of its proper divisors (112529450880).

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

30997612800 is a wasteful number, since it uses less digits than its factorization.

30997612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 30997612800 in words is "thirty billion, nine hundred ninety-seven million, six hundred twelve thousand, eight hundred".