8125524422400 has 1296 divisors, whose sum is σ = 34242530115584. Its totient is φ = 1660538880000.

The previous prime is 8125524422357. The next prime is 8125524422429. The reversal of 8125524422400 is 42244255218.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 992002305 + ... + 992010495.

Almost surely, 2^{8125524422400} is an apocalyptic number.

8125524422400 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 8125524422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17121265057792).

8125524422400 is an abundant number, since it is smaller than the sum of its proper divisors (26117005693184).

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

8125524422400 is a wasteful number, since it uses less digits than its factorization.

8125524422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8310 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

Adding to 8125524422400 its reverse (42244255218), we get a palindrome (8167768677618).

The spelling of 8125524422400 in words is "eight trillion, one hundred twenty-five billion, five hundred twenty-four million, four hundred twenty-two thousand, four hundred".