13625520768 has 384 divisors, whose sum is σ = 43687987200. Its totient is φ = 4058449920.

The previous prime is 13625520761. The next prime is 13625520809. The reversal of 13625520768 is 86702552631.

13625520768 is a `hidden beast` number, since 1 + 3 + 62 + 5 + 520 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13625520761) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29176471 + ... + 29176937.

It is an arithmetic number, because the mean of its divisors is an integer number (113770800).

Almost surely, 2^13625520768 is an apocalyptic number.

13625520768 is a gapful number since it is divisible by the number (18) 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 13625520768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21843993600).

13625520768 is an abundant number, since it is smaller than the sum of its proper divisors (30062466432).

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

13625520768 is a wasteful number, since it uses less digits than its factorization.

13625520768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 13625520768 in words is "thirteen billion, six hundred twenty-five million, five hundred twenty thousand, seven hundred sixty-eight".