116317555200 has 2400 divisors, whose sum is σ = 565828927488. Its totient is φ = 22892544000.

The previous prime is 116317555121. The next prime is 116317555201. The reversal of 116317555200 is 2555713611.

It is a happy number.

116317555200 is a `hidden beast` number, since 1 + 1 + 6 + 31 + 75 + 552 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116317555201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2474841577 + ... + 2474841623.

Almost surely, 2^116317555200 is an apocalyptic number.

116317555200 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 116317555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282914463744).

116317555200 is an abundant number, since it is smaller than the sum of its proper divisors (449511372288).

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

116317555200 is a wasteful number, since it uses less digits than its factorization.

116317555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 116317555200 in words is "one hundred sixteen billion, three hundred seventeen million, five hundred fifty-five thousand, two hundred".