255038241600 has 672 divisors, whose sum is σ = 974632381440. Its totient is φ = 64751892480.

The previous prime is 255038241589. The next prime is 255038241629. The reversal of 255038241600 is 6142830552.

255038241600 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 3 + 8 + 2 + 41 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281188347 + ... + 281189253.

Almost surely, 2^255038241600 is an apocalyptic number.

255038241600 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 255038241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487316190720).

255038241600 is an abundant number, since it is smaller than the sum of its proper divisors (719594139840).

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

255038241600 is a wasteful number, since it uses less digits than its factorization.

255038241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 255038241600 in words is "two hundred fifty-five billion, thirty-eight million, two hundred forty-one thousand, six hundred".