118719457920 has 864 divisors, whose sum is σ = 496059026580. Its totient is φ = 27088846848.

The previous prime is 118719457783. The next prime is 118719457933. The reversal of 118719457920 is 29754917811.

118719457920 is a `hidden beast` number, since 1 + 187 + 1 + 9 + 457 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109645752384 + 9073705536 = 331128^2 + 95256^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 205752672 + ... + 205753248.

Almost surely, 2^118719457920 is an apocalyptic number.

118719457920 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 118719457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248029513290).

118719457920 is an abundant number, since it is smaller than the sum of its proper divisors (377339568660).

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

118719457920 is an frugal number, since it uses more digits than its factorization.

118719457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 118719457920 in words is "one hundred eighteen billion, seven hundred nineteen million, four hundred fifty-seven thousand, nine hundred twenty".