872473852800 has 1536 divisors, whose sum is σ = 3666968870400. Its totient is φ = 200658124800.

The previous prime is 872473852799. The next prime is 872473852807. The reversal of 872473852800 is 8258374278.

872473852800 is a `hidden beast` number, since 8 + 72 + 47 + 3 + 8 + 528 + 0 + 0 = 666.

It is a super-2 number, since 2×872473852800² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872473852807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1512086112 + ... + 1512086688.

It is an arithmetic number, because the mean of its divisors is an integer number (2387349525).

Almost surely, 2^872473852800 is an apocalyptic number.

872473852800 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 872473852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833484435200).

872473852800 is an abundant number, since it is smaller than the sum of its proper divisors (2794495017600).

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

872473852800 is a wasteful number, since it uses less digits than its factorization.

872473852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 872473852800 in words is "eight hundred seventy-two billion, four hundred seventy-three million, eight hundred fifty-two thousand, eight hundred".