84256918560 has 144 divisors (see below), whose sum is σ = 292240592280. Its totient is φ = 22100152320.

The previous prime is 84256918549. The next prime is 84256918591. The reversal of 84256918560 is 6581965248.

84256918560 is a `hidden beast` number, since 8 + 4 + 2 + 5 + 69 + 18 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24851630736 + 59405287824 = 157644^2 + 243732^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 84256918497 and 84256918506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391765 + ... + 567444.

Almost surely, 2^84256918560 is an apocalyptic number.

84256918560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84256918560 is an abundant number, since it is smaller than the sum of its proper divisors (207983673720).

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

84256918560 is a wasteful number, since it uses less digits than its factorization.

84256918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959291 (or 959280 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 84256918560 in words is "eighty-four billion, two hundred fifty-six million, nine hundred eighteen thousand, five hundred sixty".