254002728960 has 832 divisors, whose sum is σ = 940111868160. Its totient is φ = 65834975232.

The previous prime is 254002728937. The next prime is 254002729021. The reversal of 254002728960 is 69827200452.

254002728960 is a `hidden beast` number, since 2 + 540 + 0 + 27 + 2 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2373857227 + ... + 2373857333.

Almost surely, 2^254002728960 is an apocalyptic number.

254002728960 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 254002728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470055934080).

254002728960 is an abundant number, since it is smaller than the sum of its proper divisors (686109139200).

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

254002728960 is an frugal number, since it uses more digits than its factorization.

254002728960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 254002728960 in words is "two hundred fifty-four billion, two million, seven hundred twenty-eight thousand, nine hundred sixty".