8252943428400 has 480 divisors, whose sum is σ = 30401082777600. Its totient is φ = 1892735308800.

The previous prime is 8252943428399. The next prime is 8252943428407. The reversal of 8252943428400 is 48243492528.

It is a super-2 number, since 2×8252943428400² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8252943428407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180302317 + ... + 180348083.

It is an arithmetic number, because the mean of its divisors is an integer number (63335589120).

Almost surely, 2^{8252943428400} is an apocalyptic number.

8252943428400 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 8252943428400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15200541388800).

8252943428400 is an abundant number, since it is smaller than the sum of its proper divisors (22148139349200).

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

8252943428400 is a wasteful number, since it uses less digits than its factorization.

8252943428400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46537 (or 46526 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 8252943428400 in words is "eight trillion, two hundred fifty-two billion, nine hundred forty-three million, four hundred twenty-eight thousand, four hundred".