11617171572096 has 96 divisors (see below), whose sum is σ = 33805235341800. Its totient is φ = 3828880484352.

The previous prime is 11617171572031. The next prime is 11617171572107. The reversal of 11617171572096 is 69027517171611.

11617171572096 is a `hidden beast` number, since 1 + 1 + 61 + 7 + 1 + 7 + 1 + 572 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56551126 + ... + 56756181.

Almost surely, 2^{11617171572096} is an apocalyptic number.

11617171572096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11617171572096 is an abundant number, since it is smaller than the sum of its proper divisors (22188063769704).

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

11617171572096 is a wasteful number, since it uses less digits than its factorization.

11617171572096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113307416 (or 113307401 counting only the distinct ones).

The product of its (nonzero) digits is 1111320, while the sum is 54.

The spelling of 11617171572096 in words is "eleven trillion, six hundred seventeen billion, one hundred seventy-one million, five hundred seventy-two thousand, ninety-six".