31956358412160 has 5760 divisors, whose sum is σ = 158435572125600. Its totient is φ = 6064891822080.

The previous prime is 31956358412137. The next prime is 31956358412189. The reversal of 31956358412160 is 6121485365913.

31956358412160 is a `hidden beast` number, since 3 + 1 + 9 + 5 + 63 + 5 + 8 + 412 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 = 31956358412097 and 31956358412106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 602950158694 + ... + 602950158746.

Almost surely, 2^{31956358412160} is an apocalyptic number.

31956358412160 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 31956358412160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79217786062800).

31956358412160 is an abundant number, since it is smaller than the sum of its proper divisors (126479213713440).

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

31956358412160 is a wasteful number, since it uses less digits than its factorization.

31956358412160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 31956358412160 in words is "thirty-one trillion, nine hundred fifty-six billion, three hundred fifty-eight million, four hundred twelve thousand, one hundred sixty".