112435787489280 has 448 divisors, whose sum is σ = 376890574233600. Its totient is φ = 28582469959680.

The previous prime is 112435787489261. The next prime is 112435787489293. The reversal of 112435787489280 is 82984787534211.

It is a super-2 number, since 2×112435787489280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281318385 + ... + 281717775.

It is an arithmetic number, because the mean of its divisors is an integer number (841273603200).

Almost surely, 2^{112435787489280} is an apocalyptic number.

112435787489280 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 112435787489280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188445287116800).

112435787489280 is an abundant number, since it is smaller than the sum of its proper divisors (264454786744320).

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

112435787489280 is an equidigital number, since it uses as much as digits as its factorization.

112435787489280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399533 (or 399509 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 69.

The spelling of 112435787489280 in words is "one hundred twelve trillion, four hundred thirty-five billion, seven hundred eighty-seven million, four hundred eighty-nine thousand, two hundred eighty".