112058558640 has 720 divisors, whose sum is σ = 465966551232. Its totient is φ = 23979884544.

The previous prime is 112058558627. The next prime is 112058558713. The reversal of 112058558640 is 46855850211.

112058558640 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 58 + 558 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 154137957 + ... + 154138683.

Almost surely, 2^112058558640 is an apocalyptic number.

112058558640 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 112058558640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232983275616).

112058558640 is an abundant number, since it is smaller than the sum of its proper divisors (353907992592).

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

112058558640 is a wasteful number, since it uses less digits than its factorization.

112058558640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 112058558640 in words is "one hundred twelve billion, fifty-eight million, five hundred fifty-eight thousand, six hundred forty".