30907105364992 has 88 divisors (see below), whose sum is σ = 61962306408576. Its totient is φ = 15409002774528.

The previous prime is 30907105364977. The next prime is 30907105365061. The reversal of 30907105364992 is 29946350170903.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808284498 + ... + 808322734.

Almost surely, 2^{30907105364992} is an apocalyptic number.

30907105364992 is a gapful number since it is divisible by the number (32) 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 30907105364992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30981153204288).

30907105364992 is an abundant number, since it is smaller than the sum of its proper divisors (31055201043584).

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

30907105364992 is a wasteful number, since it uses less digits than its factorization.

30907105364992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40513 (or 40495 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 58.

The spelling of 30907105364992 in words is "thirty trillion, nine hundred seven billion, one hundred five million, three hundred sixty-four thousand, nine hundred ninety-two".