112526507520 has 960 divisors, whose sum is σ = 464286176640. Its totient is φ = 24652283904.

The previous prime is 112526507393. The next prime is 112526507543. The reversal of 112526507520 is 25705625211.

112526507520 is a `hidden beast` number, since 1 + 12 + 526 + 50 + 75 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 650442154 + ... + 650442326.

It is an arithmetic number, because the mean of its divisors is an integer number (483631434).

Almost surely, 2^112526507520 is an apocalyptic number.

112526507520 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 112526507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232143088320).

112526507520 is an abundant number, since it is smaller than the sum of its proper divisors (351759669120).

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

112526507520 is a wasteful number, since it uses less digits than its factorization.

112526507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 112526507520 in words is "one hundred twelve billion, five hundred twenty-six million, five hundred seven thousand, five hundred twenty".