6425082896256 has 384 divisors, whose sum is σ = 19945811658240. Its totient is φ = 1979964518400.

The previous prime is 6425082896251. The next prime is 6425082896261. The reversal of 6425082896256 is 6526982805246.

6425082896256 is a `hidden beast` number, since 6 + 42 + 508 + 2 + 89 + 6 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6425082896251) and next prime (6425082896261).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6425082896256² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6425082896193 and 6425082896202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6425082896251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 148011451 + ... + 148054853.

It is an arithmetic number, because the mean of its divisors is an integer number (51942217860).

Almost surely, 2^{6425082896256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425082896256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9972905829120).

6425082896256 is an abundant number, since it is smaller than the sum of its proper divisors (13520728761984).

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

6425082896256 is a wasteful number, since it uses less digits than its factorization.

6425082896256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43634 (or 43619 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 6425082896256 in words is "six trillion, four hundred twenty-five billion, eighty-two million, eight hundred ninety-six thousand, two hundred fifty-six".