31309630608960 has 1344 divisors, whose sum is σ = 126327253893120. Its totient is φ = 7286572339200.

The previous prime is 31309630608943. The next prime is 31309630608961. The reversal of 31309630608960 is 6980603690313.

It is a happy number.

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 = 31309630608897 and 31309630608906.

It is not an unprimeable number, because it can be changed into a prime (31309630608961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4115893477 + ... + 4115901083.

It is an arithmetic number, because the mean of its divisors is an integer number (93993492480).

Almost surely, 2^{31309630608960} is an apocalyptic number.

31309630608960 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 31309630608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63163626946560).

31309630608960 is an abundant number, since it is smaller than the sum of its proper divisors (95017623284160).

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

31309630608960 is a wasteful number, since it uses less digits than its factorization.

31309630608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7786 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 54.

The spelling of 31309630608960 in words is "thirty-one trillion, three hundred nine billion, six hundred thirty million, six hundred eight thousand, nine hundred sixty".