870261810560 has 128 divisors (see below), whose sum is σ = 2089038327840. Its totient is φ = 346673479680.

The previous prime is 870261810557. The next prime is 870261810601. The reversal of 870261810560 is 65018162078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270518072 + ... + 270521288.

Almost surely, 2^870261810560 is an apocalyptic number.

870261810560 is a gapful number since it is divisible by the number (80) 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 870261810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044519163920).

870261810560 is an abundant number, since it is smaller than the sum of its proper divisors (1218776517280).

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

870261810560 is a wasteful number, since it uses less digits than its factorization.

870261810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4844 (or 4832 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

It can be divided in two parts, 8702618 and 10560, that added together give a palindrome (8713178).

The spelling of 870261810560 in words is "eight hundred seventy billion, two hundred sixty-one million, eight hundred ten thousand, five hundred sixty".