31386974503500 has 3456 divisors, whose sum is σ = 138683753994240. Its totient is φ = 5833555200000.

The previous prime is 31386974503463. The next prime is 31386974503517. The reversal of 31386974503500 is 530547968313.

31386974503500 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 6 + 97 + 45 + 0 + 3 + 500 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 765535963480 + ... + 765535963520.

It is an arithmetic number, because the mean of its divisors is an integer number (40128401040).

Almost surely, 2^{31386974503500} is an apocalyptic number.

31386974503500 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 31386974503500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69341876997120).

31386974503500 is an abundant number, since it is smaller than the sum of its proper divisors (107296779490740).

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

31386974503500 is a wasteful number, since it uses less digits than its factorization.

31386974503500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 31386974503500 in words is "thirty-one trillion, three hundred eighty-six billion, nine hundred seventy-four million, five hundred three thousand, five hundred".