31505664960 has 1792 divisors, whose sum is σ = 151687987200. Its totient is φ = 5960908800.

The previous prime is 31505664913. The next prime is 31505664961. The reversal of 31505664960 is 6946650513.

31505664960 is a `hidden beast` number, since 3 + 150 + 5 + 6 + 6 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31505664961) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 443741725 + ... + 443741795.

Almost surely, 2^31505664960 is an apocalyptic number.

31505664960 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 31505664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75843993600).

31505664960 is an abundant number, since it is smaller than the sum of its proper divisors (120182322240).

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

31505664960 is a wasteful number, since it uses less digits than its factorization.

31505664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 31505664960 in words is "thirty-one billion, five hundred five million, six hundred sixty-four thousand, nine hundred sixty".