11520665564140 has 192 divisors, whose sum is σ = 25481601395712. Its totient is φ = 4371096038400.

The previous prime is 11520665564131. The next prime is 11520665564141. The reversal of 11520665564140 is 4146556602511.

It is a super-2 number, since 2×11520665564140² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11520665564141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513780289 + ... + 2513784871.

It is an arithmetic number, because the mean of its divisors is an integer number (132716673936).

Almost surely, 2^{11520665564140} is an apocalyptic number.

11520665564140 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 11520665564140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740800697856).

11520665564140 is an abundant number, since it is smaller than the sum of its proper divisors (13960935831572).

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

11520665564140 is a wasteful number, since it uses less digits than its factorization.

11520665564140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5238 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 46.

The spelling of 11520665564140 in words is "eleven trillion, five hundred twenty billion, six hundred sixty-five million, five hundred sixty-four thousand, one hundred forty".