872653720800 has 288 divisors, whose sum is σ = 3034624521600. Its totient is φ = 217168680960.

The previous prime is 872653720793. The next prime is 872653720871. The reversal of 872653720800 is 8027356278.

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

It is a self number, because there is not a number n which added to its sum of digits gives 872653720800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2912386 + ... + 3198014.

It is an arithmetic number, because the mean of its divisors is an integer number (10536890700).

Almost surely, 2^872653720800 is an apocalyptic number.

872653720800 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 872653720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517312260800).

872653720800 is an abundant number, since it is smaller than the sum of its proper divisors (2161970800800).

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

872653720800 is a wasteful number, since it uses less digits than its factorization.

872653720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285738 (or 285725 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 872653720800 in words is "eight hundred seventy-two billion, six hundred fifty-three million, seven hundred twenty thousand, eight hundred".