11513991525120 has 2160 divisors, whose sum is σ = 49165427158848. Its totient is φ = 2564708106240.

The previous prime is 11513991525053. The next prime is 11513991525131. The reversal of 11513991525120 is 2152519931511.

11513991525120 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 39 + 91 + 525 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49416272524 + ... + 49416272756.

Almost surely, 2^{11513991525120} is an apocalyptic number.

11513991525120 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 11513991525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24582713579424).

11513991525120 is an abundant number, since it is smaller than the sum of its proper divisors (37651435633728).

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

11513991525120 is a wasteful number, since it uses less digits than its factorization.

11513991525120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 45.

The spelling of 11513991525120 in words is "eleven trillion, five hundred thirteen billion, nine hundred ninety-one million, five hundred twenty-five thousand, one hundred twenty".