254854338560 has 384 divisors, whose sum is σ = 705316248000. Its totient is φ = 87728062464.

The previous prime is 254854338559. The next prime is 254854338649. The reversal of 254854338560 is 65833458452.

It is a happy number.

It is a Cunningham number, because it is equal to 504831²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95916752 + ... + 95919408.

Almost surely, 2^254854338560 is an apocalyptic number.

254854338560 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 254854338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352658124000).

254854338560 is an abundant number, since it is smaller than the sum of its proper divisors (450461909440).

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

254854338560 is a wasteful number, since it uses less digits than its factorization.

254854338560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 53.

The spelling of 254854338560 in words is "two hundred fifty-four billion, eight hundred fifty-four million, three hundred thirty-eight thousand, five hundred sixty".