118556006400 has 864 divisors, whose sum is σ = 474833202480. Its totient is φ = 29143203840.

The previous prime is 118556006381. The next prime is 118556006419. The reversal of 118556006400 is 4600655811.

118556006400 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 5 + 6 + 0 + 0 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (118556006381) and next prime (118556006419).

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 161740434 + ... + 161741166.

Almost surely, 2^118556006400 is an apocalyptic number.

118556006400 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 118556006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237416601240).

118556006400 is an abundant number, since it is smaller than the sum of its proper divisors (356277196080).

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

118556006400 is an equidigital number, since it uses as much as digits as its factorization.

118556006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 118556006400 in words is "one hundred eighteen billion, five hundred fifty-six million, six thousand, four hundred".