255534415385600 has 528 divisors, whose sum is σ = 708083624747520. Its totient is φ = 90796828262400.

The previous prime is 255534415385591. The next prime is 255534415385633. The reversal of 255534415385600 is 6583514435552.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1846638014 + ... + 1846776386.

Almost surely, 2^{255534415385600} is an apocalyptic number.

255534415385600 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 255534415385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354041812373760).

255534415385600 is an abundant number, since it is smaller than the sum of its proper divisors (452549209361920).

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

255534415385600 is a wasteful number, since it uses less digits than its factorization.

255534415385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138626 (or 138603 counting only the distinct ones).

The product of its (nonzero) digits is 43200000, while the sum is 56.

The spelling of 255534415385600 in words is "two hundred fifty-five trillion, five hundred thirty-four billion, four hundred fifteen million, three hundred eighty-five thousand, six hundred".