118741862977920 has 2560 divisors, whose sum is σ = 556200082368000. Its totient is φ = 23732588888064.

The previous prime is 118741862977919. The next prime is 118741862977951. The reversal of 118741862977920 is 29779268147811.

118741862977920 is a `hidden beast` number, since 1 + 1 + 8 + 74 + 186 + 297 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 319 ways as a sum of consecutive naturals, for example, 10247846367 + ... + 10247857953.

It is an arithmetic number, because the mean of its divisors is an integer number (217265657175).

Almost surely, 2^{118741862977920} is an apocalyptic number.

118741862977920 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 118741862977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278100041184000).

118741862977920 is an abundant number, since it is smaller than the sum of its proper divisors (437458219390080).

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

118741862977920 is a wasteful number, since it uses less digits than its factorization.

118741862977920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11675 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 170698752, while the sum is 72.

The spelling of 118741862977920 in words is "one hundred eighteen trillion, seven hundred forty-one billion, eight hundred sixty-two million, nine hundred seventy-seven thousand, nine hundred twenty".