11657530440 has 48 divisors (see below), whose sum is σ = 37886975100. Its totient is φ = 3108674688.

The previous prime is 11657530433. The next prime is 11657530441. The reversal of 11657530440 is 4403575611.

11657530440 is a `hidden beast` number, since 1 + 16 + 575 + 30 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10584705924 + 1072824516 = 102882^2 + 32754^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11657530395 and 11657530404.

It is not an unprimeable number, because it can be changed into a prime (11657530441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16190655 + ... + 16191374.

Almost surely, 2^11657530440 is an apocalyptic number.

11657530440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657530440 is an abundant number, since it is smaller than the sum of its proper divisors (26229444660).

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

11657530440 is a wasteful number, since it uses less digits than its factorization.

11657530440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32382046 (or 32382039 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11657530440 in words is "eleven billion, six hundred fifty-seven million, five hundred thirty thousand, four hundred forty".