255819806125600 has 288 divisors, whose sum is σ = 663531740625600. Its totient is φ = 96036785049600.

The previous prime is 255819806125579. The next prime is 255819806125601. The reversal of 255819806125600 is 6521608918552.

It is a super-2 number, since 2×255819806125600² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255819806125601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15525864562 + ... + 15525881038.

It is an arithmetic number, because the mean of its divisors is an integer number (2303929654950).

Almost surely, 2^{255819806125600} is an apocalyptic number.

255819806125600 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 255819806125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331765870312800).

255819806125600 is an abundant number, since it is smaller than the sum of its proper divisors (407711934500000).

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

255819806125600 is a wasteful number, since it uses less digits than its factorization.

255819806125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25996 (or 25983 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 58.

The spelling of 255819806125600 in words is "two hundred fifty-five trillion, eight hundred nineteen billion, eight hundred six million, one hundred twenty-five thousand, six hundred".