112585248540 has 288 divisors, whose sum is σ = 364634210304. Its totient is φ = 29145070080.

The previous prime is 112585248539. The next prime is 112585248641. The reversal of 112585248540 is 45842585211.

112585248540 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 8 + 524 + 85 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 29007400 + ... + 29011280.

It is an arithmetic number, because the mean of its divisors is an integer number (1266091008).

Almost surely, 2^112585248540 is an apocalyptic number.

112585248540 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 112585248540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182317105152).

112585248540 is an abundant number, since it is smaller than the sum of its proper divisors (252048961764).

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

112585248540 is a wasteful number, since it uses less digits than its factorization.

112585248540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 112585248540 in words is "one hundred twelve billion, five hundred eighty-five million, two hundred forty-eight thousand, five hundred forty".