870824057328 has 560 divisors, whose sum is σ = 2705001868800. Its totient is φ = 270875404800.

The previous prime is 870824057317. The next prime is 870824057329. The reversal of 870824057328 is 823750428078.

870824057328 is a `hidden beast` number, since 8 + 7 + 0 + 8 + 2 + 40 + 573 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870824057329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2495197698 + ... + 2495198046.

It is an arithmetic number, because the mean of its divisors is an integer number (4830360480).

Almost surely, 2^870824057328 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 870824057328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352500934400).

870824057328 is an abundant number, since it is smaller than the sum of its proper divisors (1834177811472).

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

870824057328 is a wasteful number, since it uses less digits than its factorization.

870824057328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 870824057328 in words is "eight hundred seventy billion, eight hundred twenty-four million, fifty-seven thousand, three hundred twenty-eight".