255746985984 has 416 divisors, whose sum is σ = 916899229440. Its totient is φ = 68768759808.

The previous prime is 255746985971. The next prime is 255746985997. The reversal of 255746985984 is 489589647552.

255746985984 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 469 + 85 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (255746985971) and next prime (255746985997).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13150732 + ... + 13170164.

Almost surely, 2^255746985984 is an apocalyptic number.

255746985984 is a gapful number since it is divisible by the number (24) 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 255746985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458449614720).

255746985984 is an abundant number, since it is smaller than the sum of its proper divisors (661152243456).

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

255746985984 is a wasteful number, since it uses less digits than its factorization.

255746985984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19490 (or 19462 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 72.

The spelling of 255746985984 in words is "two hundred fifty-five billion, seven hundred forty-six million, nine hundred eighty-five thousand, nine hundred eighty-four".