118801996185600 has 5760 divisors, whose sum is σ = 597649497984000. Its totient is φ = 22830435532800.

The previous prime is 118801996185571. The next prime is 118801996185623. The reversal of 118801996185600 is 6581699108811.

118801996185600 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 0 + 1 + 9 + 9 + 6 + 18 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×118801996185600² (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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3832322457585 + ... + 3832322457615.

It is an arithmetic number, because the mean of its divisors is an integer number (103758593400).

Almost surely, 2^{118801996185600} is an apocalyptic number.

118801996185600 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 118801996185600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298824748992000).

118801996185600 is an abundant number, since it is smaller than the sum of its proper divisors (478847501798400).

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

118801996185600 is an equidigital number, since it uses as much as digits as its factorization.

118801996185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 63.

The spelling of 118801996185600 in words is "one hundred eighteen trillion, eight hundred one billion, nine hundred ninety-six million, one hundred eighty-five thousand, six hundred".