118006087680 has 1008 divisors, whose sum is σ = 481357462320. Its totient is φ = 27518828544.

The previous prime is 118006087657. The next prime is 118006087687. The reversal of 118006087680 is 86780600811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118006087687) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6210846711 + ... + 6210846729.

It is an arithmetic number, because the mean of its divisors is an integer number (477537165).

Almost surely, 2^118006087680 is an apocalyptic number.

118006087680 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 118006087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240678731160).

118006087680 is an abundant number, since it is smaller than the sum of its proper divisors (363351374640).

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

118006087680 is an frugal number, since it uses more digits than its factorization.

118006087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 118006087680 in words is "one hundred eighteen billion, six million, eighty-seven thousand, six hundred eighty".