255831393600 has 336 divisors, whose sum is σ = 962689098240. Its totient is φ = 66020659200.

The previous prime is 255831393589. The next prime is 255831393607. The reversal of 255831393600 is 6393138552.

It is a happy number.

255831393600 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 3 + 1 + 39 + 3 + 600 = 666.

It is a super-5 number, since 5×255831393600⁵ (a number of 58 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255831393607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243684 + ... + 1434716.

Almost surely, 2^255831393600 is an apocalyptic number.

255831393600 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 255831393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481344549120).

255831393600 is an abundant number, since it is smaller than the sum of its proper divisors (706857704640).

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

255831393600 is a wasteful number, since it uses less digits than its factorization.

255831393600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191095 (or 191074 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 255831393600 in words is "two hundred fifty-five billion, eight hundred thirty-one million, three hundred ninety-three thousand, six hundred".