8495456256000 has 2720 divisors, whose sum is σ = 38002117570560. Its totient is φ = 1847328768000.

The previous prime is 8495456255999. The next prime is 8495456256013. The reversal of 8495456256000 is 6526545948.

8495456256000 is a `hidden beast` number, since 8 + 4 + 9 + 5 + 4 + 5 + 6 + 25 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 143990783971 + ... + 143990784029.

Almost surely, 2^{8495456256000} is an apocalyptic number.

8495456256000 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 8495456256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19001058785280).

8495456256000 is an abundant number, since it is smaller than the sum of its proper divisors (29506661314560).

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

8495456256000 is an frugal number, since it uses more digits than its factorization.

8495456256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 8495456256000 in words is "eight trillion, four hundred ninety-five billion, four hundred fifty-six million, two hundred fifty-six thousand".