11555505360 has 480 divisors, whose sum is σ = 46959494400. Its totient is φ = 2639734272.

The previous prime is 11555505331. The next prime is 11555505397. The reversal of 11555505360 is 6350555511.

11555505360 is a `hidden beast` number, since 1 + 1 + 55 + 550 + 53 + 6 + 0 = 666.

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

It is a congruent number.

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, 6667054 + ... + 6668786.

It is an arithmetic number, because the mean of its divisors is an integer number (97832280).

Almost surely, 2^11555505360 is an apocalyptic number.

11555505360 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 11555505360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23479747200).

11555505360 is an abundant number, since it is smaller than the sum of its proper divisors (35403989040).

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

11555505360 is an equidigital number, since it uses as much as digits as its factorization.

11555505360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 11555505360 in words is "eleven billion, five hundred fifty-five million, five hundred five thousand, three hundred sixty".