255774258900 has 360 divisors, whose sum is σ = 875568022560. Its totient is φ = 64408608000.

The previous prime is 255774258871. The next prime is 255774258911. The reversal of 255774258900 is 9852477552.

255774258900 is a `hidden beast` number, since 2 + 5 + 57 + 7 + 4 + 2 + 589 + 0 + 0 = 666.

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 119 ways as a sum of consecutive naturals, for example, 50938390 + ... + 50943410.

It is an arithmetic number, because the mean of its divisors is an integer number (2432133396).

Almost surely, 2^255774258900 is an apocalyptic number.

255774258900 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 255774258900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437784011280).

255774258900 is an abundant number, since it is smaller than the sum of its proper divisors (619793763660).

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

255774258900 is a wasteful number, since it uses less digits than its factorization.

255774258900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5397 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 255774258900 in words is "two hundred fifty-five billion, seven hundred seventy-four million, two hundred fifty-eight thousand, nine hundred".