872264448000 has 1152 divisors, whose sum is σ = 3469620510720. Its totient is φ = 209018880000.

The previous prime is 872264447959. The next prime is 872264448023. The reversal of 872264448000 is 844462278.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 3218687865 + ... + 3218688135.

It is an arithmetic number, because the mean of its divisors is an integer number (3011823360).

Almost surely, 2^872264448000 is an apocalyptic number.

872264448000 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 872264448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1734810255360).

872264448000 is an abundant number, since it is smaller than the sum of its proper divisors (2597356062720).

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

872264448000 is a wasteful number, since it uses less digits than its factorization.

872264448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 872264448000 in words is "eight hundred seventy-two billion, two hundred sixty-four million, four hundred forty-eight thousand".