112852776960 has 2304 divisors, whose sum is σ = 549487411200. Its totient is φ = 21499084800.

The previous prime is 112852776937. The next prime is 112852776977. The reversal of 112852776960 is 69677258211.

112852776960 is a `hidden beast` number, since 1 + 1 + 28 + 527 + 7 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112852776897 and 112852776906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3640412145 + ... + 3640412175.

It is an arithmetic number, because the mean of its divisors is an integer number (238492800).

Almost surely, 2^112852776960 is an apocalyptic number.

112852776960 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 112852776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274743705600).

112852776960 is an abundant number, since it is smaller than the sum of its proper divisors (436634634240).

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

112852776960 is a wasteful number, since it uses less digits than its factorization.

112852776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 112852776960 in words is "one hundred twelve billion, eight hundred fifty-two million, seven hundred seventy-six thousand, nine hundred sixty".