112827432960 has 864 divisors, whose sum is σ = 447547306752. Its totient is φ = 26046627840.

The previous prime is 112827432953. The next prime is 112827433001. The reversal of 112827432960 is 69234728211.

112827432960 is a `hidden beast` number, since 1 + 128 + 2 + 7 + 432 + 96 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2400583657 + ... + 2400583703.

It is an arithmetic number, because the mean of its divisors is an integer number (517994568).

Almost surely, 2^112827432960 is an apocalyptic number.

112827432960 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 112827432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223773653376).

112827432960 is an abundant number, since it is smaller than the sum of its proper divisors (334719873792).

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

112827432960 is an equidigital number, since it uses as much as digits as its factorization.

112827432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 112827432960 in words is "one hundred twelve billion, eight hundred twenty-seven million, four hundred thirty-two thousand, nine hundred sixty".