112521587640 has 512 divisors, whose sum is σ = 446703206400. Its totient is φ = 21952143360.

The previous prime is 112521587579. The next prime is 112521587641. The reversal of 112521587640 is 46785125211.

It is a happy number.

It is a super-2 number, since 2×112521587640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 112521587592 and 112521587601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112521587641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103515177 + ... + 103516263.

It is an arithmetic number, because the mean of its divisors is an integer number (872467200).

Almost surely, 2^112521587640 is an apocalyptic number.

112521587640 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 112521587640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223351603200).

112521587640 is an abundant number, since it is smaller than the sum of its proper divisors (334181618760).

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

112521587640 is a wasteful number, since it uses less digits than its factorization.

112521587640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 112521587640 in words is "one hundred twelve billion, five hundred twenty-one million, five hundred eighty-seven thousand, six hundred forty".