31975840503432 has 256 divisors, whose sum is σ = 102771507110400. Its totient is φ = 9022924800000.

The previous prime is 31975840503329. The next prime is 31975840503461. The reversal of 31975840503432 is 23430504857913.

31975840503432 is a `hidden beast` number, since 3 + 1 + 9 + 7 + 58 + 40 + 503 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60976432 + ... + 61498592.

It is an arithmetic number, because the mean of its divisors is an integer number (401451199650).

Almost surely, 2^{31975840503432} 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 31975840503432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51385753555200).

31975840503432 is an abundant number, since it is smaller than the sum of its proper divisors (70795666606968).

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

31975840503432 is a wasteful number, since it uses less digits than its factorization.

31975840503432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522685 (or 522675 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 31975840503432 in words is "thirty-one trillion, nine hundred seventy-five billion, eight hundred forty million, five hundred three thousand, four hundred thirty-two".