12534635520 has 352 divisors, whose sum is σ = 48601347840. Its totient is φ = 3038330880.

The previous prime is 12534635453. The next prime is 12534635539. The reversal of 12534635520 is 2553643521.

12534635520 is a `hidden beast` number, since 12 + 5 + 3 + 4 + 635 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516519 + ... + 1524761.

Almost surely, 2^12534635520 is an apocalyptic number.

12534635520 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 12534635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24300673920).

12534635520 is an abundant number, since it is smaller than the sum of its proper divisors (36066712320).

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

12534635520 is a wasteful number, since it uses less digits than its factorization.

12534635520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8264 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 12534635520 in words is "twelve billion, five hundred thirty-four million, six hundred thirty-five thousand, five hundred twenty".