31996108505088 has 1792 divisors, whose sum is σ = 121300692307200. Its totient is φ = 8209783848960.

The previous prime is 31996108505059. The next prime is 31996108505093. The reversal of 31996108505088 is 88050580169913.

31996108505088 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 610 + 8 + 5 + 0 + 5 + 0 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 89125650253 + ... + 89125650611.

It is an arithmetic number, because the mean of its divisors is an integer number (67690118475).

Almost surely, 2^{31996108505088} 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 31996108505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60650346153600).

31996108505088 is an abundant number, since it is smaller than the sum of its proper divisors (89304583802112).

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

31996108505088 is an frugal number, since it uses more digits than its factorization.

31996108505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 31996108505088 in words is "thirty-one trillion, nine hundred ninety-six billion, one hundred eight million, five hundred five thousand, eighty-eight".