872857920000 has 400 divisors, whose sum is σ = 3169952815392. Its totient is φ = 211599360000.

The previous prime is 872857919977. The next prime is 872857920047. The reversal of 872857920000 is 29758278.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 10518672 + ... + 10601328.

Almost surely, 2^872857920000 is an apocalyptic number.

872857920000 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 872857920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584976407696).

872857920000 is an abundant number, since it is smaller than the sum of its proper divisors (2297094895392).

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

872857920000 is an equidigital number, since it uses as much as digits as its factorization.

872857920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82709 (or 82678 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 872857920000 in words is "eight hundred seventy-two billion, eight hundred fifty-seven million, nine hundred twenty thousand".