31253274088320 has 256 divisors, whose sum is σ = 103959292769280. Its totient is φ = 7971221913600.

The previous prime is 31253274088313. The next prime is 31253274088349. The reversal of 31253274088320 is 2388047235213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31253274088320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864502245 + ... + 864538395.

It is an arithmetic number, because the mean of its divisors is an integer number (406090987380).

Almost surely, 2^{31253274088320} is an apocalyptic number.

31253274088320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31253274088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51979646384640).

31253274088320 is an abundant number, since it is smaller than the sum of its proper divisors (72706018680960).

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

31253274088320 is a wasteful number, since it uses less digits than its factorization.

31253274088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55773 (or 55761 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 31253274088320 in words is "thirty-one trillion, two hundred fifty-three billion, two hundred seventy-four million, eighty-eight thousand, three hundred twenty".