8200255599456 has 576 divisors, whose sum is σ = 23880528967680. Its totient is φ = 2456924037120.

The previous prime is 8200255599409. The next prime is 8200255599467. The reversal of 8200255599456 is 6549955520028.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 8200255599456.

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, 59855880220 + ... + 59855880356.

It is an arithmetic number, because the mean of its divisors is an integer number (41459251680).

Almost surely, 2^{8200255599456} is an apocalyptic number.

8200255599456 is a gapful number since it is divisible by the number (86) 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 8200255599456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11940264483840).

8200255599456 is an abundant number, since it is smaller than the sum of its proper divisors (15680273368224).

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

8200255599456 is a wasteful number, since it uses less digits than its factorization.

8200255599456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 8200255599456 in words is "eight trillion, two hundred billion, two hundred fifty-five million, five hundred ninety-nine thousand, four hundred fifty-six".