8257130252800 has 960 divisors, whose sum is σ = 25154982978048. Its totient is φ = 2645360640000.

The previous prime is 8257130252773. The next prime is 8257130252809. The reversal of 8257130252800 is 82520317528.

It is not an unprimeable number, because it can be changed into a prime (8257130252809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3527179630 + ... + 3527181970.

Almost surely, 2^{8257130252800} is an apocalyptic number.

8257130252800 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 8257130252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12577491489024).

8257130252800 is an abundant number, since it is smaller than the sum of its proper divisors (16897852725248).

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

8257130252800 is a wasteful number, since it uses less digits than its factorization.

8257130252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 8257130252800 in words is "eight trillion, two hundred fifty-seven billion, one hundred thirty million, two hundred fifty-two thousand, eight hundred".