11521654516496 has 80 divisors (see below), whose sum is σ = 23198355531648. Its totient is φ = 5539392768000.

The previous prime is 11521654516459. The next prime is 11521654516501. The reversal of 11521654516496 is 69461545612511.

11521654516496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11521654516496² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32895896 + ... + 33244296.

Almost surely, 2^{11521654516496} is an apocalyptic number.

11521654516496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11521654516496 is an abundant number, since it is smaller than the sum of its proper divisors (11676701015152).

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

11521654516496 is a wasteful number, since it uses less digits than its factorization.

11521654516496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349200 (or 349194 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 56.

The spelling of 11521654516496 in words is "eleven trillion, five hundred twenty-one billion, six hundred fifty-four million, five hundred sixteen thousand, four hundred ninety-six".