116617536000 has 1280 divisors, whose sum is σ = 509864509440. Its totient is φ = 25712640000.

The previous prime is 116617535987. The next prime is 116617536011. The reversal of 116617536000 is 635716611.

116617536000 is a `hidden beast` number, since 1 + 1 + 6 + 617 + 5 + 36 + 0 + 0 + 0 = 666.

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

It is a super-2 number, since 2×116617536000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 374975845 + ... + 374976155.

It is an arithmetic number, because the mean of its divisors is an integer number (398331648).

Almost surely, 2^116617536000 is an apocalyptic number.

116617536000 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 116617536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254932254720).

116617536000 is an abundant number, since it is smaller than the sum of its proper divisors (393246973440).

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

116617536000 is an equidigital number, since it uses as much as digits as its factorization.

116617536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 116617536000 in words is "one hundred sixteen billion, six hundred seventeen million, five hundred thirty-six thousand".