11513625344760 has 512 divisors, whose sum is σ = 44158257561600. Its totient is φ = 2331763200000.

The previous prime is 11513625344743. The next prime is 11513625344773. The reversal of 11513625344760 is 6744352631511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 393600135 + ... + 393629385.

It is an arithmetic number, because the mean of its divisors is an integer number (86246596800).

Almost surely, 2^{11513625344760} is an apocalyptic number.

11513625344760 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 11513625344760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22079128780800).

11513625344760 is an abundant number, since it is smaller than the sum of its proper divisors (32644632216840).

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

11513625344760 is a wasteful number, since it uses less digits than its factorization.

11513625344760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30363 (or 30359 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 11513625344760 in words is "eleven trillion, five hundred thirteen billion, six hundred twenty-five million, three hundred forty-four thousand, seven hundred sixty".