118177738560 has 448 divisors, whose sum is σ = 504494231040. Its totient is φ = 25422888960.

The previous prime is 118177738541. The next prime is 118177738573. The reversal of 118177738560 is 65837771811.

118177738560 is a `hidden beast` number, since 1 + 1 + 8 + 1 + 7 + 7 + 73 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a junction number, because it is equal to n+sod(n) for n = 118177738497 and 118177738506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 970690 + ... + 1085630.

Almost surely, 2^118177738560 is an apocalyptic number.

118177738560 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 118177738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252247115520).

118177738560 is an abundant number, since it is smaller than the sum of its proper divisors (386316492480).

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

118177738560 is a wasteful number, since it uses less digits than its factorization.

118177738560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114991 (or 114975 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 118177738560 in words is "one hundred eighteen billion, one hundred seventy-seven million, seven hundred thirty-eight thousand, five hundred sixty".