112549977280080 has 320 divisors, whose sum is σ = 400592452465920. Its totient is φ = 29022998575104.

The previous prime is 112549977280073. The next prime is 112549977280109. The reversal of 112549977280080 is 80082779945211.

112549977280080 is a `hidden beast` number, since 1 + 1 + 2 + 549 + 9 + 7 + 7 + 2 + 8 + 0 + 0 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8707074 + ... + 17346846.

It is an arithmetic number, because the mean of its divisors is an integer number (1251851413956).

Almost surely, 2^{112549977280080} is an apocalyptic number.

112549977280080 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 112549977280080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200296226232960).

112549977280080 is an abundant number, since it is smaller than the sum of its proper divisors (288042475185840).

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

112549977280080 is a wasteful number, since it uses less digits than its factorization.

112549977280080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8639995 (or 8639983 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 112549977280080 in words is "one hundred twelve trillion, five hundred forty-nine billion, nine hundred seventy-seven million, two hundred eighty thousand, eighty".