11517611040 has 576 divisors, whose sum is σ = 44381675520. Its totient is φ = 2700656640.

The previous prime is 11517611033. The next prime is 11517611089. The reversal of 11517611040 is 4011671511.

11517611040 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 7 + 611 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11517610995 and 11517611013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51648369 + ... + 51648591.

It is an arithmetic number, because the mean of its divisors is an integer number (77051520).

Almost surely, 2^11517611040 is an apocalyptic number.

11517611040 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 11517611040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22190837760).

11517611040 is an abundant number, since it is smaller than the sum of its proper divisors (32864064480).

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

11517611040 is a wasteful number, since it uses less digits than its factorization.

11517611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11517611040 in words is "eleven billion, five hundred seventeen million, six hundred eleven thousand, forty".