8257490976000 has 864 divisors, whose sum is σ = 31954267013760. Its totient is φ = 1884524544000.

The previous prime is 8257490975989. The next prime is 8257490976019. The reversal of 8257490976000 is 6790947528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5132063196 + ... + 5132064804.

It is an arithmetic number, because the mean of its divisors is an integer number (36984105340).

Almost surely, 2^{8257490976000} is an apocalyptic number.

8257490976000 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 8257490976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15977133506880).

8257490976000 is an abundant number, since it is smaller than the sum of its proper divisors (23696776037760).

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

8257490976000 is a wasteful number, since it uses less digits than its factorization.

8257490976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 8257490976000 in words is "eight trillion, two hundred fifty-seven billion, four hundred ninety million, nine hundred seventy-six thousand".