118072442880 has 1280 divisors, whose sum is σ = 511563064320. Its totient is φ = 25480396800.

The previous prime is 118072442869. The next prime is 118072442893. The reversal of 118072442880 is 88244270811.

118072442880 is a `hidden beast` number, since 1 + 1 + 80 + 72 + 4 + 428 + 80 = 666.

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

It is a super-2 number, since 2×118072442880² (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 79 ways as a sum of consecutive naturals, for example, 2879815660 + ... + 2879815700.

It is an arithmetic number, because the mean of its divisors is an integer number (399658644).

Almost surely, 2^118072442880 is an apocalyptic number.

118072442880 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 118072442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255781532160).

118072442880 is an abundant number, since it is smaller than the sum of its proper divisors (393490621440).

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

118072442880 is an frugal number, since it uses more digits than its factorization.

118072442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 118072442880 in words is "one hundred eighteen billion, seventy-two million, four hundred forty-two thousand, eight hundred eighty".