11657340000 has 180 divisors, whose sum is σ = 41425580196. Its totient is φ = 3108576000.

The previous prime is 11657339999. The next prime is 11657340041. The reversal of 11657340000 is 4375611.

11657340000 is a `hidden beast` number, since 1 + 1 + 657 + 3 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 147619 + ... + 212381.

Almost surely, 2^11657340000 is an apocalyptic number.

11657340000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11657340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20712790098).

11657340000 is an abundant number, since it is smaller than the sum of its proper divisors (29768240196).

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

11657340000 is an equidigital number, since it uses as much as digits as its factorization.

11657340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64799 (or 64773 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11657340000 in words is "eleven billion, six hundred fifty-seven million, three hundred forty thousand".