872862842880 has 1296 divisors, whose sum is σ = 3714838938720. Its totient is φ = 192631799808.

The previous prime is 872862842867. The next prime is 872862842927. The reversal of 872862842880 is 88248268278.

872862842880 is a `hidden beast` number, since 8 + 72 + 8 + 6 + 284 + 288 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30098718706 + ... + 30098718734.

It is an arithmetic number, because the mean of its divisors is an integer number (2866388070).

Almost surely, 2^872862842880 is an apocalyptic number.

872862842880 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 872862842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857419469360).

872862842880 is an abundant number, since it is smaller than the sum of its proper divisors (2841976095840).

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

872862842880 is an frugal number, since it uses more digits than its factorization.

872862842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 872862842880 in words is "eight hundred seventy-two billion, eight hundred sixty-two million, eight hundred forty-two thousand, eight hundred eighty".