13512645720 has 768 divisors, whose sum is σ = 56142720000. Its totient is φ = 2874009600.

The previous prime is 13512645719. The next prime is 13512645737. The reversal of 13512645720 is 2754621531.

13512645720 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 645 + 7 + 2 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 89487645 + ... + 89487795.

It is an arithmetic number, because the mean of its divisors is an integer number (73102500).

Almost surely, 2^13512645720 is an apocalyptic number.

13512645720 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 13512645720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28071360000).

13512645720 is an abundant number, since it is smaller than the sum of its proper divisors (42630074280).

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

13512645720 is a wasteful number, since it uses less digits than its factorization.

13512645720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13512645720 in words is "thirteen billion, five hundred twelve million, six hundred forty-five thousand, seven hundred twenty".