31668599160 has 240 divisors, whose sum is σ = 116999328600. Its totient is φ = 7677141120.

The previous prime is 31668599119. The next prime is 31668599189. The reversal of 31668599160 is 6199586613.

31668599160 is a `hidden beast` number, since 31 + 6 + 6 + 8 + 599 + 16 + 0 = 666.

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 = 31668599097 and 31668599106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 351651 + ... + 432429.

Almost surely, 2^31668599160 is an apocalyptic number.

31668599160 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 31668599160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58499664300).

31668599160 is an abundant number, since it is smaller than the sum of its proper divisors (85330729440).

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

31668599160 is a wasteful number, since it uses less digits than its factorization.

31668599160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80824 (or 80800 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 31668599160 in words is "thirty-one billion, six hundred sixty-eight million, five hundred ninety-nine thousand, one hundred sixty".