12631717560 has 768 divisors, whose sum is σ = 51970867200. Its totient is φ = 2395008000.

The previous prime is 12631717537. The next prime is 12631717573. The reversal of 12631717560 is 6571713621.

It is a super-2 number, since 2×12631717560² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59865855 + ... + 59866065.

It is an arithmetic number, because the mean of its divisors is an integer number (67670400).

Almost surely, 2^12631717560 is an apocalyptic number.

12631717560 is a gapful number since it is divisible by the number (10) 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 12631717560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25985433600).

12631717560 is an abundant number, since it is smaller than the sum of its proper divisors (39339149640).

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

12631717560 is a wasteful number, since it uses less digits than its factorization.

12631717560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 12631717560 in words is "twelve billion, six hundred thirty-one million, seven hundred seventeen thousand, five hundred sixty".