254993123840 has 960 divisors, whose sum is σ = 835556020992. Its totient is φ = 72406794240.

The previous prime is 254993123743. The next prime is 254993123893. The reversal of 254993123840 is 48321399452.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3805867487 + ... + 3805867553.

Almost surely, 2^254993123840 is an apocalyptic number.

254993123840 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 254993123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417778010496).

254993123840 is an abundant number, since it is smaller than the sum of its proper divisors (580562897152).

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

254993123840 is a wasteful number, since it uses less digits than its factorization.

254993123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The spelling of 254993123840 in words is "two hundred fifty-four billion, nine hundred ninety-three million, one hundred twenty-three thousand, eight hundred forty".