31666672460800 has 528 divisors, whose sum is σ = 86885608687360. Its totient is φ = 11371370250240.

The previous prime is 31666672460791. The next prime is 31666672460821. The reversal of 31666672460800 is 806427666613.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1761501412 + ... + 1761519388.

Almost surely, 2^{31666672460800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31666672460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43442804343680).

31666672460800 is an abundant number, since it is smaller than the sum of its proper divisors (55218936226560).

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

31666672460800 is a wasteful number, since it uses less digits than its factorization.

31666672460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18166 (or 18143 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 31666672460800 in words is "thirty-one trillion, six hundred sixty-six billion, six hundred seventy-two million, four hundred sixty thousand, eight hundred".