255837553920 has 1296 divisors, whose sum is σ = 1032598973952. Its totient is φ = 60555755520.

The previous prime is 255837553919. The next prime is 255837553997. The reversal of 255837553920 is 29355738552.

It is a happy number.

255837553920 is a `hidden beast` number, since 2 + 5 + 5 + 83 + 7 + 5 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1629538482 + ... + 1629538638.

Almost surely, 2^255837553920 is an apocalyptic number.

255837553920 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 255837553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516299486976).

255837553920 is an abundant number, since it is smaller than the sum of its proper divisors (776761420032).

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

255837553920 is a wasteful number, since it uses less digits than its factorization.

255837553920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 255837553920 in words is "two hundred fifty-five billion, eight hundred thirty-seven million, five hundred fifty-three thousand, nine hundred twenty".