31385538096800 has 216 divisors, whose sum is σ = 81311123559708. Its totient is φ = 11820871987200.

The previous prime is 31385538096799. The next prime is 31385538096821. The reversal of 31385538096800 is 869083558313.

It can be written as a sum of positive squares in 6 ways, for example, as 21126047230864 + 10259490865936 = 4596308^2 + 3203044^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31385538096800.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27893924 + ... + 28997276.

Almost surely, 2^{31385538096800} 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 31385538096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40655561779854).

31385538096800 is an abundant number, since it is smaller than the sum of its proper divisors (49925585462908).

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

31385538096800 is a wasteful number, since it uses less digits than its factorization.

31385538096800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103472 (or 1103428 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 59.

The spelling of 31385538096800 in words is "thirty-one trillion, three hundred eighty-five billion, five hundred thirty-eight million, ninety-six thousand, eight hundred".