112593420576000 has 9216 divisors, whose sum is σ = 586260799488000. Its totient is φ = 20600900812800.

The previous prime is 112593420575959. The next prime is 112593420576031. The reversal of 112593420576000 is 675024395211.

112593420576000 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 9 + 34 + 2 + 0 + 5 + 7 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 996401951944 + ... + 996401952056.

It is an arithmetic number, because the mean of its divisors is an integer number (63613368000).

Almost surely, 2^{112593420576000} is an apocalyptic number.

112593420576000 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 112593420576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293130399744000).

112593420576000 is an abundant number, since it is smaller than the sum of its proper divisors (473667378912000).

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

112593420576000 is a wasteful number, since it uses less digits than its factorization.

112593420576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 112593420576000 in words is "one hundred twelve trillion, five hundred ninety-three billion, four hundred twenty million, five hundred seventy-six thousand".