255434601600 has 1536 divisors, whose sum is σ = 1064101536000. Its totient is φ = 60197437440.

The previous prime is 255434601577. The next prime is 255434601659. The reversal of 255434601600 is 6106434552.

255434601600 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 3 + 46 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2260483144 + ... + 2260483256.

Almost surely, 2^255434601600 is an apocalyptic number.

255434601600 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 255434601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532050768000).

255434601600 is an abundant number, since it is smaller than the sum of its proper divisors (808666934400).

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

255434601600 is a wasteful number, since it uses less digits than its factorization.

255434601600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 255434601600 in words is "two hundred fifty-five billion, four hundred thirty-four million, six hundred one thousand, six hundred".