254294867880 has 256 divisors, whose sum is σ = 902536992000. Its totient is φ = 63465652224.

The previous prime is 254294867867. The next prime is 254294867951. The reversal of 254294867880 is 88768492452.

254294867880 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 9 + 486 + 78 + 80 = 666.

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, 3247752 + ... + 3325128.

It is an arithmetic number, because the mean of its divisors is an integer number (3525535125).

Almost surely, 2^254294867880 is an apocalyptic number.

254294867880 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 254294867880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451268496000).

254294867880 is an abundant number, since it is smaller than the sum of its proper divisors (648242124120).

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

254294867880 is a wasteful number, since it uses less digits than its factorization.

254294867880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77593 (or 77583 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 254294867880 in words is "two hundred fifty-four billion, two hundred ninety-four million, eight hundred sixty-seven thousand, eight hundred eighty".