12632657520 has 320 divisors, whose sum is σ = 46488453120. Its totient is φ = 2776510464.

The previous prime is 12632657507. The next prime is 12632657581. The reversal of 12632657520 is 2575623621.

It is a happy number.

It is a super-2 number, since 2×12632657520² (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 63 ways as a sum of consecutive naturals, for example, 18659422 + ... + 18660098.

It is an arithmetic number, because the mean of its divisors is an integer number (145276416).

Almost surely, 2^12632657520 is an apocalyptic number.

12632657520 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 12632657520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23244226560).

12632657520 is an abundant number, since it is smaller than the sum of its proper divisors (33855795600).

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

12632657520 is a wasteful number, since it uses less digits than its factorization.

12632657520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 12632657520 in words is "twelve billion, six hundred thirty-two million, six hundred fifty-seven thousand, five hundred twenty".