31874216052960 has 240 divisors, whose sum is σ = 112496975868816. Its totient is φ = 8499220088832.

The previous prime is 31874216052937. The next prime is 31874216052967. The reversal of 31874216052960 is 6925061247813.

It is a happy number.

31874216052960 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 4 + 2 + 1 + 605 + 29 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 31874216052897 and 31874216052906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31874216052967) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 214374804 + ... + 214523436.

It is a 2-persistent number, because it is pandigital, and so is 2⋅31874216052960 = 63748432105920, but 3⋅31874216052960 = 95622648158880 is not.

Almost surely, 2^{31874216052960} is an apocalyptic number.

31874216052960 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 31874216052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56248487934408).

31874216052960 is an abundant number, since it is smaller than the sum of its proper divisors (80622759815856).

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

31874216052960 is a wasteful number, since it uses less digits than its factorization.

31874216052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165207 (or 165190 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 31874216052960 in words is "thirty-one trillion, eight hundred seventy-four billion, two hundred sixteen million, fifty-two thousand, nine hundred sixty".