118765508400 has 720 divisors, whose sum is σ = 516670502400. Its totient is φ = 24543129600.

The previous prime is 118765508359. The next prime is 118765508437. The reversal of 118765508400 is 4805567811.

118765508400 is a `hidden beast` number, since 1 + 1 + 87 + 65 + 508 + 4 + 0 + 0 = 666.

118765508400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 55161724 + ... + 55163876.

It is an arithmetic number, because the mean of its divisors is an integer number (717597920).

Almost surely, 2^118765508400 is an apocalyptic number.

118765508400 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 118765508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258335251200).

118765508400 is an abundant number, since it is smaller than the sum of its proper divisors (397904994000).

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

118765508400 is a wasteful number, since it uses less digits than its factorization.

118765508400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 118765508400 in words is "one hundred eighteen billion, seven hundred sixty-five million, five hundred eight thousand, four hundred".