116917653600 has 648 divisors, whose sum is σ = 463855608216. Its totient is φ = 27675648000.

The previous prime is 116917653581. The next prime is 116917653659. The reversal of 116917653600 is 6356719611.

116917653600 is a `hidden beast` number, since 116 + 9 + 176 + 5 + 360 + 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 (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 37460040 + ... + 37463160.

Almost surely, 2^116917653600 is an apocalyptic number.

116917653600 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 116917653600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231927804108).

116917653600 is an abundant number, since it is smaller than the sum of its proper divisors (346937954616).

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

116917653600 is a wasteful number, since it uses less digits than its factorization.

116917653600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 116917653600 in words is "one hundred sixteen billion, nine hundred seventeen million, six hundred fifty-three thousand, six hundred".