13012859520 has 512 divisors, whose sum is σ = 47953382400. Its totient is φ = 3332689920.

The previous prime is 13012859513. The next prime is 13012859533. The reversal of 13012859520 is 2595821031.

13012859520 is a `hidden beast` number, since 1 + 3 + 0 + 128 + 5 + 9 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61672215 + ... + 61672425.

It is an arithmetic number, because the mean of its divisors is an integer number (93658950).

Almost surely, 2^13012859520 is an apocalyptic number.

13012859520 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 13012859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976691200).

13012859520 is an abundant number, since it is smaller than the sum of its proper divisors (34940522880).

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

13012859520 is a wasteful number, since it uses less digits than its factorization.

13012859520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 13012859520 in words is "thirteen billion, twelve million, eight hundred fifty-nine thousand, five hundred twenty".