11375055657 has 72 divisors (see below), whose sum is σ = 20271252456. Its totient is φ = 6107480064.

The previous prime is 11375055647. The next prime is 11375055661. The reversal of 11375055657 is 75655057311.

11375055657 is a `hidden beast` number, since 1 + 1 + 37 + 50 + 5 + 565 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3356927721 + 8018127936 = 57939^2 + 89544^2 .

It is not a de Polignac number, because 11375055657 - 2⁷ = 11375055529 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11375055647) 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 71 ways as a sum of consecutive naturals, for example, 7323793 + ... + 7325345.

It is an arithmetic number, because the mean of its divisors is an integer number (281545173).

Almost surely, 2^11375055657 is an apocalyptic number.

11375055657 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

11375055657 is a deficient number, since it is larger than the sum of its proper divisors (8896196799).

11375055657 is a wasteful number, since it uses less digits than its factorization.

11375055657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2557 counting only the distinct ones).

The product of its (nonzero) digits is 551250, while the sum is 45.

The spelling of 11375055657 in words is "eleven billion, three hundred seventy-five million, fifty-five thousand, six hundred fifty-seven".