112090265851752 has 384 divisors, whose sum is σ = 329022916185600. Its totient is φ = 34364156428800.

The previous prime is 112090265851673. The next prime is 112090265851757. The reversal of 112090265851752 is 257158562090211.

It is a happy number.

112090265851752 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 9 + 0 + 2 + 6 + 585 + 1 + 7 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (112090265851757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7778097427 + ... + 7778111837.

It is an arithmetic number, because the mean of its divisors is an integer number (856830510900).

Almost surely, 2^{112090265851752} is an apocalyptic number.

112090265851752 is a gapful number since it is divisible by the number (12) 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 112090265851752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164511458092800).

112090265851752 is an abundant number, since it is smaller than the sum of its proper divisors (216932650333848).

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

112090265851752 is a wasteful number, since it uses less digits than its factorization.

112090265851752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15709 (or 15702 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 112090265851752 in words is "one hundred twelve trillion, ninety billion, two hundred sixty-five million, eight hundred fifty-one thousand, seven hundred fifty-two".