11513755701200 has 120 divisors (see below), whose sum is σ = 27944448955680. Its totient is φ = 4558471488000.

The previous prime is 11513755701157. The next prime is 11513755701257. The reversal of 11513755701200 is 210755731511.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133559711 + ... + 133645889.

It is an arithmetic number, because the mean of its divisors is an integer number (232870407964).

Almost surely, 2^{11513755701200} is an apocalyptic number.

11513755701200 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 11513755701200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13972224477840).

11513755701200 is an abundant number, since it is smaller than the sum of its proper divisors (16430693254480).

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

11513755701200 is a wasteful number, since it uses less digits than its factorization.

11513755701200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89605 (or 89594 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 38.

The spelling of 11513755701200 in words is "eleven trillion, five hundred thirteen billion, seven hundred fifty-five million, seven hundred one thousand, two hundred".