30790807992000 has 1792 divisors, whose sum is σ = 132578531205120. Its totient is φ = 6936814080000.

The previous prime is 30790807991989. The next prime is 30790807992037. The reversal of 30790807992000 is 29970809703.

It is a super-2 number, since 2×30790807992000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8695510230 + ... + 8695513770.

It is an arithmetic number, because the mean of its divisors is an integer number (73983555360).

Almost surely, 2^{30790807992000} is an apocalyptic number.

30790807992000 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 30790807992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66289265602560).

30790807992000 is an abundant number, since it is smaller than the sum of its proper divisors (101787723213120).

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

30790807992000 is an frugal number, since it uses more digits than its factorization.

30790807992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3629 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 30790807992000 in words is "thirty trillion, seven hundred ninety billion, eight hundred seven million, nine hundred ninety-two thousand".