872558990600 has 192 divisors, whose sum is σ = 2386431633600. Its totient is φ = 293262336000.

The previous prime is 872558990579. The next prime is 872558990621. The reversal of 872558990600 is 6099855278.

It is an interprime number because it is at equal distance from previous prime (872558990579) and next prime (872558990621).

It is a super-2 number, since 2×872558990600² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872558990600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459232 + ... + 1968368.

It is an arithmetic number, because the mean of its divisors is an integer number (12429331425).

Almost surely, 2^872558990600 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 872558990600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193215816800).

872558990600 is an abundant number, since it is smaller than the sum of its proper divisors (1513872643000).

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

872558990600 is a wasteful number, since it uses less digits than its factorization.

872558990600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509224 (or 509215 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 59.

The spelling of 872558990600 in words is "eight hundred seventy-two billion, five hundred fifty-eight million, nine hundred ninety thousand, six hundred".