112503029760 has 912 divisors, whose sum is σ = 463553593920. Its totient is φ = 25669140480.

The previous prime is 112503029731. The next prime is 112503029797. The reversal of 112503029760 is 67920305211.

112503029760 is a `hidden beast` number, since 1 + 1 + 2 + 503 + 0 + 2 + 97 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6617825272 + ... + 6617825288.

Almost surely, 2^112503029760 is an apocalyptic number.

112503029760 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 112503029760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231776796960).

112503029760 is an abundant number, since it is smaller than the sum of its proper divisors (351050564160).

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

112503029760 is an frugal number, since it uses more digits than its factorization.

112503029760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 112503029760 in words is "one hundred twelve billion, five hundred three million, twenty-nine thousand, seven hundred sixty".