872989389619200 has 648 divisors, whose sum is σ = 3573978058608048. Its totient is φ = 199540384727040.

The previous prime is 872989389619199. The next prime is 872989389619201. The reversal of 872989389619200 is 2916983989278.

872989389619200 is a `hidden beast` number, since 8 + 7 + 2 + 98 + 9 + 389 + 61 + 92 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (872989389619199) and next prime (872989389619201).

It is a super-2 number, since 2×872989389619200² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 872989389619200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872989389619201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204323994 + ... + 208552806.

Almost surely, 2^{872989389619200} is an apocalyptic number.

872989389619200 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 872989389619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786989029304024).

872989389619200 is an abundant number, since it is smaller than the sum of its proper divisors (2700988668988848).

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

872989389619200 is an equidigital number, since it uses as much as digits as its factorization.

872989389619200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4228870 (or 4228830 counting only the distinct ones).

The product of its (nonzero) digits is 1693052928, while the sum is 81.

The spelling of 872989389619200 in words is "eight hundred seventy-two trillion, nine hundred eighty-nine billion, three hundred eighty-nine million, six hundred nineteen thousand, two hundred".