870235487108224 has 256 divisors, whose sum is σ = 1928312766378720. Its totient is φ = 389414752616448.

The previous prime is 870235487108213. The next prime is 870235487108227. The reversal of 870235487108224 is 422801784532078.

870235487108224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 602959811457600 + 267275675650624 = 24555240^2 + 16348568^2 .

It is not an unprimeable number, because it can be changed into a prime (870235487108227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096257184 + ... + 1097050720.

Almost surely, 2^{870235487108224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 870235487108224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964156383189360).

870235487108224 is an abundant number, since it is smaller than the sum of its proper divisors (1058077279270496).

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

870235487108224 is a wasteful number, since it uses less digits than its factorization.

870235487108224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793915 (or 793903 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 61.

The spelling of 870235487108224 in words is "eight hundred seventy trillion, two hundred thirty-five billion, four hundred eighty-seven million, one hundred eight thousand, two hundred twenty-four".