872847360000 has 2400 divisors, whose sum is σ = 4127320834560. Its totient is φ = 176947200000.

The previous prime is 872847359971. The next prime is 872847360029. The reversal of 872847360000 is 63748278.

It is a happy number.

872847360000 is a `hidden beast` number, since 8 + 7 + 284 + 7 + 360 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (872847359971) and next prime (872847360029).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21288959980 + ... + 21288960020.

Almost surely, 2^872847360000 is an apocalyptic number.

872847360000 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 872847360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2063660417280).

872847360000 is an abundant number, since it is smaller than the sum of its proper divisors (3254473474560).

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

872847360000 is an equidigital number, since it uses as much as digits as its factorization.

872847360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 872847360000 in words is "eight hundred seventy-two billion, eight hundred forty-seven million, three hundred sixty thousand".