254942116000 has 192 divisors, whose sum is σ = 735903657216. Its totient is φ = 85574784000.

The previous prime is 254942115991. The next prime is 254942116043. The reversal of 254942116000 is 611249452.

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 31 ways as a sum of consecutive naturals, for example, 349149 + ... + 794851.

It is an arithmetic number, because the mean of its divisors is an integer number (3832831548).

Almost surely, 2^254942116000 is an apocalyptic number.

254942116000 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 254942116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367951828608).

254942116000 is an abundant number, since it is smaller than the sum of its proper divisors (480961541216).

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

254942116000 is a wasteful number, since it uses less digits than its factorization.

254942116000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445752 (or 445734 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 254942116000 in words is "two hundred fifty-four billion, nine hundred forty-two million, one hundred sixteen thousand".