112828787930880 has 1728 divisors, whose sum is σ = 490962102220800. Its totient is φ = 24397519749120.

The previous prime is 112828787930869. The next prime is 112828787930893. The reversal of 112828787930880 is 88039787828211.

112828787930880 is a `hidden beast` number, since 1 + 12 + 82 + 87 + 87 + 9 + 308 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 112828787930799 and 112828787930808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27445580025 + ... + 27445584135.

Almost surely, 2^{112828787930880} is an apocalyptic number.

112828787930880 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 112828787930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245481051110400).

112828787930880 is an abundant number, since it is smaller than the sum of its proper divisors (378133314289920).

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

112828787930880 is a wasteful number, since it uses less digits than its factorization.

112828787930880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 72.

The spelling of 112828787930880 in words is "one hundred twelve trillion, eight hundred twenty-eight billion, seven hundred eighty-seven million, nine hundred thirty thousand, eight hundred eighty".