11608091119872 has 864 divisors, whose sum is σ = 38005384854528. Its totient is φ = 3512359231488.

The previous prime is 11608091119787. The next prime is 11608091119897. The reversal of 11608091119872 is 27891119080611.

11608091119872 is a `hidden beast` number, since 1 + 1 + 608 + 0 + 9 + 11 + 19 + 8 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14104606053 + ... + 14104606875.

It is an arithmetic number, because the mean of its divisors is an integer number (43987713952).

Almost surely, 2^{11608091119872} is an apocalyptic number.

11608091119872 is a gapful number since it is divisible by the number (12) 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 11608091119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19002692427264).

11608091119872 is an abundant number, since it is smaller than the sum of its proper divisors (26397293734656).

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

11608091119872 is a wasteful number, since it uses less digits than its factorization.

11608091119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 54.

The spelling of 11608091119872 in words is "eleven trillion, six hundred eight billion, ninety-one million, one hundred nineteen thousand, eight hundred seventy-two".