31661660160 has 768 divisors, whose sum is σ = 126804787200. Its totient is φ = 7435321344.

The previous prime is 31661660153. The next prime is 31661660171. The reversal of 31661660160 is 6106616613.

It is a happy number.

31661660160 is a `hidden beast` number, since 31 + 6 + 6 + 16 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 82667329 + ... + 82667711.

It is an arithmetic number, because the mean of its divisors is an integer number (165110400).

Almost surely, 2^31661660160 is an apocalyptic number.

31661660160 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 31661660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63402393600).

31661660160 is an abundant number, since it is smaller than the sum of its proper divisors (95143127040).

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

31661660160 is a wasteful number, since it uses less digits than its factorization.

31661660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 31661660160 in words is "thirty-one billion, six hundred sixty-one million, six hundred sixty thousand, one hundred sixty".