254339872000 has 144 divisors (see below), whose sum is σ = 654033429504. Its totient is φ = 98453760000.

The previous prime is 254339871959. The next prime is 254339872021. The reversal of 254339872000 is 278933452.

254339872000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863805 + ... + 1120195.

It is an arithmetic number, because the mean of its divisors is an integer number (4541898816).

Almost surely, 2^254339872000 is an apocalyptic number.

254339872000 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 254339872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327016714752).

254339872000 is an abundant number, since it is smaller than the sum of its proper divisors (399693557504).

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

254339872000 is an equidigital number, since it uses as much as digits as its factorization.

254339872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256453 (or 256429 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 254339872000 in words is "two hundred fifty-four billion, three hundred thirty-nine million, eight hundred seventy-two thousand".