112869072207360 has 1280 divisors, whose sum is σ = 460731219886080. Its totient is φ = 25656277893120.

The previous prime is 112869072207337. The next prime is 112869072207361. The reversal of 112869072207360 is 63702270968211.

It is a happy number.

112869072207360 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 6 + 9 + 0 + 72 + 207 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 = 112869072207297 and 112869072207306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112869072207361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124442196027 + ... + 124442196933.

It is an arithmetic number, because the mean of its divisors is an integer number (359946265536).

Almost surely, 2^{112869072207360} is an apocalyptic number.

112869072207360 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 112869072207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230365609943040).

112869072207360 is an abundant number, since it is smaller than the sum of its proper divisors (347862147678720).

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

112869072207360 is an equidigital number, since it uses as much as digits as its factorization.

112869072207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 112869072207360 in words is "one hundred twelve trillion, eight hundred sixty-nine billion, seventy-two million, two hundred seven thousand, three hundred sixty".