118885306780800 has 1152 divisors, whose sum is σ = 515031017155200. Its totient is φ = 26510959411200.

The previous prime is 118885306780789. The next prime is 118885306780819. The reversal of 118885306780800 is 8087603588811.

118885306780800 is a `hidden beast` number, since 1 + 18 + 8 + 8 + 530 + 6 + 7 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 222904846 + ... + 223437554.

It is an arithmetic number, because the mean of its divisors is an integer number (447075535725).

Almost surely, 2^{118885306780800} is an apocalyptic number.

118885306780800 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 118885306780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257515508577600).

118885306780800 is an abundant number, since it is smaller than the sum of its proper divisors (396145710374400).

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

118885306780800 is an equidigital number, since it uses as much as digits as its factorization.

118885306780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532796 (or 532767 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 63.

The spelling of 118885306780800 in words is "one hundred eighteen trillion, eight hundred eighty-five billion, three hundred six million, seven hundred eighty thousand, eight hundred".