872259494400 has 960 divisors, whose sum is σ = 3785466643200. Its totient is φ = 192483164160.

The previous prime is 872259494347. The next prime is 872259494411. The reversal of 872259494400 is 4494952278.

It is a happy number.

872259494400 is a `hidden beast` number, since 8 + 7 + 2 + 2 + 594 + 9 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70150584 + ... + 70163016.

It is an arithmetic number, because the mean of its divisors is an integer number (3943194420).

Almost surely, 2^872259494400 is an apocalyptic number.

872259494400 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 872259494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892733321600).

872259494400 is an abundant number, since it is smaller than the sum of its proper divisors (2913207148800).

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

872259494400 is a wasteful number, since it uses less digits than its factorization.

872259494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12506 (or 12479 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 872259494400 in words is "eight hundred seventy-two billion, two hundred fifty-nine million, four hundred ninety-four thousand, four hundred".