11657489760 has 384 divisors, whose sum is σ = 46797004800. Its totient is φ = 2655037440.

The previous prime is 11657489743. The next prime is 11657489771. The reversal of 11657489760 is 6798475611.

11657489760 is a `hidden beast` number, since 1 + 1 + 6 + 574 + 8 + 9 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11657489697 and 11657489706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11762865 + ... + 11763855.

It is an arithmetic number, because the mean of its divisors is an integer number (121867200).

Almost surely, 2^11657489760 is an apocalyptic number.

11657489760 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 11657489760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23398502400).

11657489760 is an abundant number, since it is smaller than the sum of its proper divisors (35139515040).

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

11657489760 is a wasteful number, since it uses less digits than its factorization.

11657489760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11657489760 in words is "eleven billion, six hundred fifty-seven million, four hundred eighty-nine thousand, seven hundred sixty".