13262590656 has 168 divisors, whose sum is σ = 43525114880. Its totient is φ = 3782370816.

The previous prime is 13262590639. The next prime is 13262590657. The reversal of 13262590656 is 65609526231.

13262590656 is a `hidden beast` number, since 1 + 3 + 2 + 6 + 2 + 590 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (13262590657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2444715 + ... + 2450133.

Almost surely, 2^13262590656 is an apocalyptic number.

13262590656 is a gapful number since it is divisible by the number (16) 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 13262590656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762557440).

13262590656 is an abundant number, since it is smaller than the sum of its proper divisors (30262524224).

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

13262590656 is a wasteful number, since it uses less digits than its factorization.

13262590656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6038 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 13262590656 in words is "thirteen billion, two hundred sixty-two million, five hundred ninety thousand, six hundred fifty-six".