118527879052800 has 3360 divisors, whose sum is σ = 531581170824000. Its totient is φ = 26137392906240.

The previous prime is 118527879052777. The next prime is 118527879052873. The reversal of 118527879052800 is 8250978725811.

118527879052800 is a `hidden beast` number, since 1 + 1 + 8 + 5 + 27 + 87 + 9 + 0 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×118527879052800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 92817445762 + ... + 92817447038.

Almost surely, 2^{118527879052800} is an apocalyptic number.

118527879052800 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 118527879052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265790585412000).

118527879052800 is an abundant number, since it is smaller than the sum of its proper divisors (413053291771200).

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

118527879052800 is an frugal number, since it uses more digits than its factorization.

118527879052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 63.

The spelling of 118527879052800 in words is "one hundred eighteen trillion, five hundred twenty-seven billion, eight hundred seventy-nine million, fifty-two thousand, eight hundred".