11553960096 has 144 divisors (see below), whose sum is σ = 39201079680. Its totient is φ = 3301119360.

The previous prime is 11553960071. The next prime is 11553960107. The reversal of 11553960096 is 69006935511.

11553960096 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 39 + 600 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 94120 + ... + 178791.

It is an arithmetic number, because the mean of its divisors is an integer number (272229720).

Almost surely, 2^11553960096 is an apocalyptic number.

11553960096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11553960096 is an abundant number, since it is smaller than the sum of its proper divisors (27647119584).

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

11553960096 is a wasteful number, since it uses less digits than its factorization.

11553960096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272944 (or 272923 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The spelling of 11553960096 in words is "eleven billion, five hundred fifty-three million, nine hundred sixty thousand, ninety-six".