116936490585600 has 2400 divisors, whose sum is σ = 512538844747776. Its totient is φ = 25766653132800.

The previous prime is 116936490585599. The next prime is 116936490585617. The reversal of 116936490585600 is 6585094639611.

116936490585600 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 3 + 6 + 49 + 0 + 585 + 6 + 0 + 0 = 666.

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

It is a super-2 number, since 2×116936490585600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69070578354 + ... + 69070580046.

Almost surely, 2^{116936490585600} is an apocalyptic number.

116936490585600 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 116936490585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256269422373888).

116936490585600 is an abundant number, since it is smaller than the sum of its proper divisors (395602354162176).

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

116936490585600 is a wasteful number, since it uses less digits than its factorization.

116936490585600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 116936490585600 in words is "one hundred sixteen trillion, nine hundred thirty-six billion, four hundred ninety million, five hundred eighty-five thousand, six hundred".