30968270860800 has 1440 divisors, whose sum is σ = 128932969511808. Its totient is φ = 6380680642560.

The previous prime is 30968270860783. The next prime is 30968270860817. The reversal of 30968270860800 is 806807286903.

It is an interprime number because it is at equal distance from previous prime (30968270860783) and next prime (30968270860817).

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 143 ways as a sum of consecutive naturals, for example, 6461143204 + ... + 6461147996.

Almost surely, 2^{30968270860800} is an apocalyptic number.

30968270860800 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 30968270860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64466484755904).

30968270860800 is an abundant number, since it is smaller than the sum of its proper divisors (97964698651008).

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

30968270860800 is a wasteful number, since it uses less digits than its factorization.

30968270860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 30968270860800 in words is "thirty trillion, nine hundred sixty-eight billion, two hundred seventy million, eight hundred sixty thousand, eight hundred".