11190172908096 has 784 divisors, whose sum is σ = 42298328009728. Its totient is φ = 2856019046400.

The previous prime is 11190172908071. The next prime is 11190172908119. The reversal of 11190172908096 is 69080927109111.

11190172908096 is a `hidden beast` number, since 1 + 1 + 190 + 1 + 7 + 290 + 80 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 131574066 + ... + 131659086.

It is an arithmetic number, because the mean of its divisors is an integer number (53951948992).

Almost surely, 2^{11190172908096} is an apocalyptic number.

11190172908096 is a gapful number since it is divisible by the number (16) 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 11190172908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21149164004864).

11190172908096 is an abundant number, since it is smaller than the sum of its proper divisors (31108155101632).

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

11190172908096 is an equidigital number, since it uses as much as digits as its factorization.

11190172908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85102 (or 85077 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 54.

The spelling of 11190172908096 in words is "eleven trillion, one hundred ninety billion, one hundred seventy-two million, nine hundred eight thousand, ninety-six".