31105664400 has 60 divisors (see below), whose sum is σ = 99641815472. Its totient is φ = 8294843520.

The previous prime is 31105664353. The next prime is 31105664417. The reversal of 31105664400 is 446650113.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12959494 + ... + 12961893.

Almost surely, 2^31105664400 is an apocalyptic number.

31105664400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31105664400 is an abundant number, since it is smaller than the sum of its proper divisors (68536151072).

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

31105664400 is a wasteful number, since it uses less digits than its factorization.

31105664400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25921408 (or 25921397 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 31105664400 in words is "thirty-one billion, one hundred five million, six hundred sixty-four thousand, four hundred".