112599365760 has 768 divisors, whose sum is σ = 470682835200. Its totient is φ = 25360957440.

The previous prime is 112599365741. The next prime is 112599365761. The reversal of 112599365760 is 67563995211.

112599365760 is a `hidden beast` number, since 1 + 12 + 59 + 9 + 3 + 6 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 112599365697 and 112599365706.

It is not an unprimeable number, because it can be changed into a prime (112599365761) 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, 60116184 + ... + 60118056.

It is an arithmetic number, because the mean of its divisors is an integer number (612868275).

Almost surely, 2^112599365760 is an apocalyptic number.

112599365760 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 112599365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235341417600).

112599365760 is an abundant number, since it is smaller than the sum of its proper divisors (358083469440).

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

112599365760 is a wasteful number, since it uses less digits than its factorization.

112599365760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 112599365760 in words is "one hundred twelve billion, five hundred ninety-nine million, three hundred sixty-five thousand, seven hundred sixty".