11657513040 has 160 divisors (see below), whose sum is σ = 37464923520. Its totient is φ = 2996140032.

The previous prime is 11657513033. The next prime is 11657513051. The reversal of 11657513040 is 4031575611.

It is a super-2 number, since 2×11657513040² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11657512992 and 11657513010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944026 + ... + 956294.

It is an arithmetic number, because the mean of its divisors is an integer number (234155772).

Almost surely, 2^11657513040 is an apocalyptic number.

11657513040 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 11657513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18732461760).

11657513040 is an abundant number, since it is smaller than the sum of its proper divisors (25807410480).

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

11657513040 is a wasteful number, since it uses less digits than its factorization.

11657513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12429 (or 12423 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 11657513040 in words is "eleven billion, six hundred fifty-seven million, five hundred thirteen thousand, forty".