254986412880 has 320 divisors, whose sum is σ = 846334045440. Its totient is φ = 63318786048.

The previous prime is 254986412839. The next prime is 254986412911. The reversal of 254986412880 is 88214689452.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 254986412880.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112179424 + ... + 112181696.

It is an arithmetic number, because the mean of its divisors is an integer number (2644793892).

Almost surely, 2^254986412880 is an apocalyptic number.

254986412880 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 254986412880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423167022720).

254986412880 is an abundant number, since it is smaller than the sum of its proper divisors (591347632560).

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

254986412880 is a wasteful number, since it uses less digits than its factorization.

254986412880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 254986412880 in words is "two hundred fifty-four billion, nine hundred eighty-six million, four hundred twelve thousand, eight hundred eighty".