11555116560 has 280 divisors, whose sum is σ = 43381353624. Its totient is φ = 2844149760.

The previous prime is 11555116543. The next prime is 11555116567. The reversal of 11555116560 is 6561155511.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 894967056 + 10660149504 = 29916^2 + 103248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11555116567) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 750540 + ... + 765780.

Almost surely, 2^11555116560 is an apocalyptic number.

11555116560 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 11555116560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21690676812).

11555116560 is an abundant number, since it is smaller than the sum of its proper divisors (31826237064).

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

11555116560 is a wasteful number, since it uses less digits than its factorization.

11555116560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15285 (or 15264 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

The spelling of 11555116560 in words is "eleven billion, five hundred fifty-five million, one hundred sixteen thousand, five hundred sixty".