112877561160 has 384 divisors, whose sum is σ = 452138319360. Its totient is φ = 23782809600.

The previous prime is 112877561089. The next prime is 112877561161. The reversal of 112877561160 is 61165778211.

112877561160 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 77 + 561 + 16 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (112877561161) 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, 28859605 + ... + 28863515.

It is an arithmetic number, because the mean of its divisors is an integer number (1177443540).

Almost surely, 2^112877561160 is an apocalyptic number.

112877561160 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 112877561160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226069159680).

112877561160 is an abundant number, since it is smaller than the sum of its proper divisors (339260758200).

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

112877561160 is a wasteful number, since it uses less digits than its factorization.

112877561160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 112877561160 in words is "one hundred twelve billion, eight hundred seventy-seven million, five hundred sixty-one thousand, one hundred sixty".