11608934325120 has 512 divisors, whose sum is σ = 46064963865600. Its totient is φ = 2738223636480.

The previous prime is 11608934325101. The next prime is 11608934325137. The reversal of 11608934325120 is 2152343980611.

11608934325120 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 8 + 93 + 43 + 2 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6207637 + ... + 7858283.

It is an arithmetic number, because the mean of its divisors is an integer number (89970632550).

Almost surely, 2^{11608934325120} is an apocalyptic number.

11608934325120 is a gapful number since it is divisible by the number (10) 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 11608934325120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23032481932800).

11608934325120 is an abundant number, since it is smaller than the sum of its proper divisors (34456029540480).

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

11608934325120 is a wasteful number, since it uses less digits than its factorization.

11608934325120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650723 (or 1650705 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 11608934325120 in words is "eleven trillion, six hundred eight billion, nine hundred thirty-four million, three hundred twenty-five thousand, one hundred twenty".