118028543632560 has 1920 divisors, whose sum is σ = 473703349616640. Its totient is φ = 26246030469120.

The previous prime is 118028543632547. The next prime is 118028543632589. The reversal of 118028543632560 is 65236345820811.

118028543632560 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 2 + 8 + 5 + 43 + 6 + 32 + 560 = 666.

It is a super-2 number, since 2×118028543632560² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 118028543632497 and 118028543632506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99434324287 + ... + 99434325473.

It is an arithmetic number, because the mean of its divisors is an integer number (246720494592).

Almost surely, 2^{118028543632560} is an apocalyptic number.

118028543632560 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 118028543632560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236851674808320).

118028543632560 is an abundant number, since it is smaller than the sum of its proper divisors (355674805984080).

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

118028543632560 is a wasteful number, since it uses less digits than its factorization.

118028543632560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 118028543632560 in words is "one hundred eighteen trillion, twenty-eight billion, five hundred forty-three million, six hundred thirty-two thousand, five hundred sixty".