112767293520 has 480 divisors, whose sum is σ = 437886259200. Its totient is φ = 25475337216.

The previous prime is 112767293503. The next prime is 112767293539. The reversal of 112767293520 is 25392767211.

It is a happy number.

112767293520 is a `hidden beast` number, since 1 + 1 + 276 + 7 + 29 + 352 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215615979 + ... + 215616501.

It is an arithmetic number, because the mean of its divisors is an integer number (912263040).

Almost surely, 2^112767293520 is an apocalyptic number.

112767293520 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 112767293520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218943129600).

112767293520 is an abundant number, since it is smaller than the sum of its proper divisors (325118965680).

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

112767293520 is a wasteful number, since it uses less digits than its factorization.

112767293520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 112767293520 in words is "one hundred twelve billion, seven hundred sixty-seven million, two hundred ninety-three thousand, five hundred twenty".