8411872179200 has 792 divisors, whose sum is σ = 24953471259552. Its totient is φ = 2801843896320.

The previous prime is 8411872179107. The next prime is 8411872179203. The reversal of 8411872179200 is 29712781148.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8411872179203) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14941158119 + ... + 14941158681.

It is an arithmetic number, because the mean of its divisors is an integer number (31506908156).

Almost surely, 2^{8411872179200} is an apocalyptic number.

8411872179200 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 8411872179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476735629776).

8411872179200 is an abundant number, since it is smaller than the sum of its proper divisors (16541599080352).

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

8411872179200 is a wasteful number, since it uses less digits than its factorization.

8411872179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 50.

The spelling of 8411872179200 in words is "eight trillion, four hundred eleven billion, eight hundred seventy-two million, one hundred seventy-nine thousand, two hundred".