8400112560 has 320 divisors, whose sum is σ = 33236444160. Its totient is φ = 1910200320.

The previous prime is 8400112541. The next prime is 8400112561. The reversal of 8400112560 is 652110048.

8400112560 is a `hidden beast` number, since 8 + 400 + 1 + 1 + 256 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (8400112561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3189004 + ... + 3191636.

It is an arithmetic number, because the mean of its divisors is an integer number (103863888).

Almost surely, 2^8400112560 is an apocalyptic number.

8400112560 is a gapful number since it is divisible by the number (80) 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 8400112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618222080).

8400112560 is an abundant number, since it is smaller than the sum of its proper divisors (24836331600).

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

8400112560 is a wasteful number, since it uses less digits than its factorization.

8400112560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8400112560 is about 91652.1279622028. The cubic root of 8400112560 is about 2032.8017933966.

The spelling of 8400112560 in words is "eight billion, four hundred million, one hundred twelve thousand, five hundred sixty".