828254426506560 has 84 divisors (see below), whose sum is σ = 2848850121181428. Its totient is φ = 220867847067648.

The previous prime is 828254426506537. The next prime is 828254426506607. The reversal of 828254426506560 is 65605624452828.

828254426506560 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 5 + 4 + 4 + 2 + 65 + 0 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 534294348876864 + 293960077629696 = 23114808^2 + 17145264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143794168389 + ... + 143794174148.

It is an arithmetic number, because the mean of its divisors is an integer number (33914882395017).

Almost surely, 2^{828254426506560} is an apocalyptic number.

828254426506560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828254426506560 is an abundant number, since it is smaller than the sum of its proper divisors (2020595694674868).

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

828254426506560 is a wasteful number, since it uses less digits than its factorization.

828254426506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287588342560 (or 287588342547 counting only the distinct ones).

The product of its (nonzero) digits is 221184000, while the sum is 63.

The spelling of 828254426506560 in words is "eight hundred twenty-eight trillion, two hundred fifty-four billion, four hundred twenty-six million, five hundred six thousand, five hundred sixty".