255519940420800 has 1512 divisors, whose sum is σ = 1023717342167520. Its totient is φ = 60366974976000.

The previous prime is 255519940420769. The next prime is 255519940420831. The reversal of 255519940420800 is 8024049915552.

255519940420800 is a `hidden beast` number, since 2 + 5 + 5 + 51 + 9 + 94 + 0 + 420 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255519940420769) and next prime (255519940420831).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 102085472349 + ... + 102085474851.

Almost surely, 2^{255519940420800} is an apocalyptic number.

255519940420800 is a gapful number since it is divisible by the number (20) 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 255519940420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511858671083760).

255519940420800 is an abundant number, since it is smaller than the sum of its proper divisors (768197401746720).

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

255519940420800 is a wasteful number, since it uses less digits than its factorization.

255519940420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4023 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 255519940420800 in words is "two hundred fifty-five trillion, five hundred nineteen billion, nine hundred forty million, four hundred twenty thousand, eight hundred".