118682565120 has 1280 divisors, whose sum is σ = 522686545920. Its totient is φ = 24907087872.

The previous prime is 118682565119. The next prime is 118682565161. The reversal of 118682565120 is 21565286811.

118682565120 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 82 + 56 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×118682565120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 386588007 + ... + 386588313.

It is an arithmetic number, because the mean of its divisors is an integer number (408348864).

Almost surely, 2^118682565120 is an apocalyptic number.

118682565120 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 118682565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261343272960).

118682565120 is an abundant number, since it is smaller than the sum of its proper divisors (404003980800).

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

118682565120 is a wasteful number, since it uses less digits than its factorization.

118682565120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 118682565120 in words is "one hundred eighteen billion, six hundred eighty-two million, five hundred sixty-five thousand, one hundred twenty".