870580224000 has 880 divisors, whose sum is σ = 3325209863976. Its totient is φ = 226492416000.

The previous prime is 870580223999. The next prime is 870580224049. The reversal of 870580224000 is 422085078.

It is a happy number.

870580224000 is a `hidden beast` number, since 8 + 70 + 580 + 2 + 2 + 4 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71430045696 + 799150178304 = 267264^2 + 893952^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21233663980 + ... + 21233664020.

Almost surely, 2^870580224000 is an apocalyptic number.

870580224000 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 870580224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662604931988).

870580224000 is an abundant number, since it is smaller than the sum of its proper divisors (2454629639976).

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

870580224000 is an frugal number, since it uses more digits than its factorization.

870580224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 870580224000 in words is "eight hundred seventy billion, five hundred eighty million, two hundred twenty-four thousand".