12613835520 has 1296 divisors, whose sum is σ = 56018027520. Its totient is φ = 2587852800.

The previous prime is 12613835503. The next prime is 12613835543. The reversal of 12613835520 is 2553831621.

12613835520 is a `hidden beast` number, since 1 + 2 + 613 + 8 + 35 + 5 + 2 + 0 = 666.

It is a super-2 number, since 2×12613835520² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 406897905 + ... + 406897935.

Almost surely, 2^12613835520 is an apocalyptic number.

12613835520 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 12613835520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009013760).

12613835520 is an abundant number, since it is smaller than the sum of its proper divisors (43404192000).

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

12613835520 is a wasteful number, since it uses less digits than its factorization.

12613835520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 12613835520 in words is "twelve billion, six hundred thirteen million, eight hundred thirty-five thousand, five hundred twenty".