13575657088 has 192 divisors, whose sum is σ = 33217891200. Its totient is φ = 5412077568.

The previous prime is 13575657083. The next prime is 13575657091. The reversal of 13575657088 is 88075657531.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13575657083) 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, 26670978 + ... + 26671486.

It is an arithmetic number, because the mean of its divisors is an integer number (173009850).

Almost surely, 2^13575657088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13575657088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16608945600).

13575657088 is an abundant number, since it is smaller than the sum of its proper divisors (19642234112).

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

13575657088 is a wasteful number, since it uses less digits than its factorization.

13575657088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 13575657088 in words is "thirteen billion, five hundred seventy-five million, six hundred fifty-seven thousand, eighty-eight".