31985071507872 has 144 divisors (see below), whose sum is σ = 104905166446080. Its totient is φ = 9054751504896.

The previous prime is 31985071507777. The next prime is 31985071507889. The reversal of 31985071507872 is 27870517058913.

31985071507872 is a `hidden beast` number, since 3 + 1 + 9 + 8 + 50 + 7 + 1 + 507 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 72558288 + ... + 72997775.

It is an arithmetic number, because the mean of its divisors is an integer number (728508100320).

Almost surely, 2^{31985071507872} is an apocalyptic number.

31985071507872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31985071507872 is an abundant number, since it is smaller than the sum of its proper divisors (72920094938208).

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

31985071507872 is a wasteful number, since it uses less digits than its factorization.

31985071507872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145556195 (or 145556184 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 63.

The spelling of 31985071507872 in words is "thirty-one trillion, nine hundred eighty-five billion, seventy-one million, five hundred seven thousand, eight hundred seventy-two".