112027292751360 has 960 divisors, whose sum is σ = 442225194079680. Its totient is φ = 24039338803200.

The previous prime is 112027292751329. The next prime is 112027292751401. The reversal of 112027292751360 is 63157292720211.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×112027292751360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2565351606 + ... + 2565395274.

It is an arithmetic number, because the mean of its divisors is an integer number (460651243833).

Almost surely, 2^{112027292751360} is an apocalyptic number.

112027292751360 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 112027292751360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221112597039840).

112027292751360 is an abundant number, since it is smaller than the sum of its proper divisors (330197901328320).

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

112027292751360 is a wasteful number, since it uses less digits than its factorization.

112027292751360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44127 (or 44104 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The spelling of 112027292751360 in words is "one hundred twelve trillion, twenty-seven billion, two hundred ninety-two million, seven hundred fifty-one thousand, three hundred sixty".