11657582370 has 96 divisors (see below), whose sum is σ = 35922676608. Its totient is φ = 2664586368.

The previous prime is 11657582323. The next prime is 11657582383. The reversal of 11657582370 is 7328575611.

It is a happy number.

11657582370 is a `hidden beast` number, since 1 + 1 + 6 + 575 + 8 + 2 + 3 + 70 = 666.

11657582370 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 325659 + ... + 359678.

It is an arithmetic number, because the mean of its divisors is an integer number (374194548).

Almost surely, 2^11657582370 is an apocalyptic number.

11657582370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11657582370 is an abundant number, since it is smaller than the sum of its proper divisors (24265094238).

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

11657582370 is an equidigital number, since it uses as much as digits as its factorization.

11657582370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685366 (or 685354 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 11657582370 in words is "eleven billion, six hundred fifty-seven million, five hundred eighty-two thousand, three hundred seventy".