13088290656 has 48 divisors (see below), whose sum is σ = 39264873984. Its totient is φ = 3739511424.

The previous prime is 13088290651. The next prime is 13088290661. The reversal of 13088290656 is 65609288031.

It is a happy number.

13088290656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13088290651) and next prime (13088290661).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13088290651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9737640 + ... + 9738983.

It is an arithmetic number, because the mean of its divisors is an integer number (818018208).

Almost surely, 2^13088290656 is an apocalyptic number.

13088290656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13088290656 is an abundant number, since it is smaller than the sum of its proper divisors (26176583328).

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

13088290656 is a wasteful number, since it uses less digits than its factorization.

13088290656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19476643 (or 19476635 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 13088290656 in words is "thirteen billion, eighty-eight million, two hundred ninety thousand, six hundred fifty-six".