31285977000768 has 168 divisors, whose sum is σ = 103017425021888. Its totient is φ = 8892535062528.

The previous prime is 31285977000727. The next prime is 31285977000821. The reversal of 31285977000768 is 86700077958213.

31285977000768 is a `hidden beast` number, since 31 + 2 + 8 + 597 + 7 + 0 + 0 + 0 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19323946 + ... + 20880297.

Almost surely, 2^{31285977000768} is an apocalyptic number.

It is an amenable number.

31285977000768 is an abundant number, since it is smaller than the sum of its proper divisors (71731448021120).

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

31285977000768 is a wasteful number, since it uses less digits than its factorization.

31285977000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40204461 (or 40204448 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 31285977000768 in words is "thirty-one trillion, two hundred eighty-five billion, nine hundred seventy-seven million, seven hundred sixty-eight", and thus it is an aban number.