254879308320 has 768 divisors, whose sum is σ = 1007691632640. Its totient is φ = 52724514816.

The previous prime is 254879308253. The next prime is 254879308427. The reversal of 254879308320 is 23803978452.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 830225607 + ... + 830225913.

It is an arithmetic number, because the mean of its divisors is an integer number (1312098480).

Almost surely, 2^254879308320 is an apocalyptic number.

254879308320 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 254879308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503845816320).

254879308320 is an abundant number, since it is smaller than the sum of its proper divisors (752812324320).

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

254879308320 is a wasteful number, since it uses less digits than its factorization.

254879308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 254879308320 in words is "two hundred fifty-four billion, eight hundred seventy-nine million, three hundred eight thousand, three hundred twenty".