254761770560 has 448 divisors, whose sum is σ = 752119603200. Its totient is φ = 81039974400.

The previous prime is 254761770547. The next prime is 254761770631. The reversal of 254761770560 is 65077167452.

It is a junction number, because it is equal to n+sod(n) for n = 254761770499 and 254761770508.

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, 44606105 + ... + 44611815.

It is an arithmetic number, because the mean of its divisors is an integer number (1678838400).

Almost surely, 2^254761770560 is an apocalyptic number.

254761770560 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 254761770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376059801600).

254761770560 is an abundant number, since it is smaller than the sum of its proper divisors (497357832640).

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

254761770560 is a wasteful number, since it uses less digits than its factorization.

254761770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5810 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 50.

The spelling of 254761770560 in words is "two hundred fifty-four billion, seven hundred sixty-one million, seven hundred seventy thousand, five hundred sixty".