112557476380800 has 1536 divisors, whose sum is σ = 431924140800000. Its totient is φ = 25461109555200.

The previous prime is 112557476380799. The next prime is 112557476380889. The reversal of 112557476380800 is 8083674755211.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 181837602891 + ... + 181837603509.

It is an arithmetic number, because the mean of its divisors is an integer number (281200612500).

Almost surely, 2^{112557476380800} is an apocalyptic number.

112557476380800 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 112557476380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215962070400000).

112557476380800 is an abundant number, since it is smaller than the sum of its proper divisors (319366664419200).

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

112557476380800 is a wasteful number, since it uses less digits than its factorization.

112557476380800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 112557476380800 in words is "one hundred twelve trillion, five hundred fifty-seven billion, four hundred seventy-six million, three hundred eighty thousand, eight hundred".