30797886873600 has 5376 divisors, whose sum is σ = 153522288230400. Its totient is φ = 5933747404800.

The previous prime is 30797886873571. The next prime is 30797886873601. The reversal of 30797886873600 is 637868879703.

30797886873600 is a `hidden beast` number, since 3 + 0 + 7 + 9 + 7 + 8 + 8 + 6 + 8 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30797886873601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 655274188777 + ... + 655274188823.

Almost surely, 2^{30797886873600} is an apocalyptic number.

30797886873600 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 30797886873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76761144115200).

30797886873600 is an abundant number, since it is smaller than the sum of its proper divisors (122724401356800).

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

30797886873600 is an equidigital number, since it uses as much as digits as its factorization.

30797886873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 30797886873600 in words is "thirty trillion, seven hundred ninety-seven billion, eight hundred eighty-six million, eight hundred seventy-three thousand, six hundred".