870589473600 has 1344 divisors, whose sum is σ = 3702575020032. Its totient is φ = 173850624000.

The previous prime is 870589473587. The next prime is 870589473643. The reversal of 870589473600 is 6374985078.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1106212407 + ... + 1106213193.

It is an arithmetic number, because the mean of its divisors is an integer number (2754892128).

Almost surely, 2^870589473600 is an apocalyptic number.

870589473600 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 870589473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1851287510016).

870589473600 is an abundant number, since it is smaller than the sum of its proper divisors (2831985546432).

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

870589473600 is a wasteful number, since it uses less digits than its factorization.

870589473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 870589473600 in words is "eight hundred seventy billion, five hundred eighty-nine million, four hundred seventy-three thousand, six hundred".