254956585920 has 224 divisors, whose sum is σ = 852716282880. Its totient is φ = 64362885120.

The previous prime is 254956585903. The next prime is 254956585937. The reversal of 254956585920 is 29585659452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (254956585903) and next prime (254956585937).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29562729 + ... + 29571351.

It is an arithmetic number, because the mean of its divisors is an integer number (3806769120).

Almost surely, 2^254956585920 is an apocalyptic number.

254956585920 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 254956585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426358141440).

254956585920 is an abundant number, since it is smaller than the sum of its proper divisors (597759696960).

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

254956585920 is a wasteful number, since it uses less digits than its factorization.

254956585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10283 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 38880000, while the sum is 60.

The spelling of 254956585920 in words is "two hundred fifty-four billion, nine hundred fifty-six million, five hundred eighty-five thousand, nine hundred twenty".