112053782880 has 576 divisors, whose sum is σ = 442760048640. Its totient is φ = 25570971648.

The previous prime is 112053782849. The next prime is 112053782909. The reversal of 112053782880 is 88287350211.

112053782880 is a `hidden beast` number, since 1 + 12 + 0 + 537 + 8 + 28 + 80 = 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 95 ways as a sum of consecutive naturals, for example, 16713609 + ... + 16720311.

It is an arithmetic number, because the mean of its divisors is an integer number (768680640).

Almost surely, 2^112053782880 is an apocalyptic number.

112053782880 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 112053782880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221380024320).

112053782880 is an abundant number, since it is smaller than the sum of its proper divisors (330706265760).

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

112053782880 is a wasteful number, since it uses less digits than its factorization.

112053782880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 112053782880 in words is "one hundred twelve billion, fifty-three million, seven hundred eighty-two thousand, eight hundred eighty".