11577497525088 has 96 divisors (see below), whose sum is σ = 33427741156992. Its totient is φ = 3508332544640.

The previous prime is 11577497525071. The next prime is 11577497525089. The reversal of 11577497525088 is 88052579477511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577497525089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45176106 + ... + 45431657.

It is an arithmetic number, because the mean of its divisors is an integer number (348205637052).

Almost surely, 2^{11577497525088} is an apocalyptic number.

It is an amenable number.

11577497525088 is an abundant number, since it is smaller than the sum of its proper divisors (21850243631904).

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

11577497525088 is an equidigital number, since it uses as much as digits as its factorization.

11577497525088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90607809 (or 90607779 counting only the distinct ones).

The product of its (nonzero) digits is 197568000, while the sum is 69.

The spelling of 11577497525088 in words is "eleven trillion, five hundred seventy-seven billion, four hundred ninety-seven million, five hundred twenty-five thousand, eighty-eight".