254991932979840 has 1024 divisors, whose sum is σ = 1060376036428800. Its totient is φ = 56688786800640.

The previous prime is 254991932979739. The next prime is 254991932979857. The reversal of 254991932979840 is 48979239199452.

254991932979840 is a `hidden beast` number, since 2 + 5 + 499 + 1 + 9 + 32 + 9 + 7 + 98 + 4 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 254991932979840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15471864400 + ... + 15471880880.

It is an arithmetic number, because the mean of its divisors is an integer number (1035523473075).

Almost surely, 2^{254991932979840} is an apocalyptic number.

254991932979840 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 254991932979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530188018214400).

254991932979840 is an abundant number, since it is smaller than the sum of its proper divisors (805384103448960).

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

254991932979840 is a wasteful number, since it uses less digits than its factorization.

254991932979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20010 (or 19992 counting only the distinct ones).

The product of its (nonzero) digits is 3174474240, while the sum is 81.

The spelling of 254991932979840 in words is "two hundred fifty-four trillion, nine hundred ninety-one billion, nine hundred thirty-two million, nine hundred seventy-nine thousand, eight hundred forty".