31261087807488 has 960 divisors, whose sum is σ = 116593699622400. Its totient is φ = 8107304878080.

The previous prime is 31261087807421. The next prime is 31261087807517. The reversal of 31261087807488 is 88470878016213.

31261087807488 is a `hidden beast` number, since 3 + 1 + 2 + 610 + 8 + 7 + 8 + 0 + 7 + 4 + 8 + 8 = 666.

It is a super-2 number, since 2×31261087807488² (a number of 28 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 10716861006 + ... + 10716863922.

It is an arithmetic number, because the mean of its divisors is an integer number (121451770440).

Almost surely, 2^{31261087807488} 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 31261087807488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58296849811200).

31261087807488 is an abundant number, since it is smaller than the sum of its proper divisors (85332611814912).

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

31261087807488 is a wasteful number, since it uses less digits than its factorization.

31261087807488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 31261087807488 in words is "thirty-one trillion, two hundred sixty-one billion, eighty-seven million, eight hundred seven thousand, four hundred eighty-eight".