115606961856000 has 1280 divisors, whose sum is σ = 439598806732800. Its totient is φ = 29937143808000.

The previous prime is 115606961855971. The next prime is 115606961856083. The reversal of 115606961856000 is 658169606511.

115606961856000 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 0 + 69 + 6 + 18 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×115606961856000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8327225059 + ... + 8327238941.

It is an arithmetic number, because the mean of its divisors is an integer number (343436567760).

Almost surely, 2^{115606961856000} is an apocalyptic number.

115606961856000 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 115606961856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219799403366400).

115606961856000 is an abundant number, since it is smaller than the sum of its proper divisors (323991844876800).

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

115606961856000 is an equidigital number, since it uses as much as digits as its factorization.

115606961856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14065 (or 14033 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 115606961856000 in words is "one hundred fifteen trillion, six hundred six billion, nine hundred sixty-one million, eight hundred fifty-six thousand".