505243761701280 has 1536 divisors, whose sum is σ = 1927350049701888. Its totient is φ = 108858625228800.

The previous prime is 505243761701201. The next prime is 505243761701389. The reversal of 505243761701280 is 82107167342505.

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 255 ways as a sum of consecutive naturals, for example, 339773880697 + ... + 339773882183.

It is an arithmetic number, because the mean of its divisors is an integer number (1254785188608).

Almost surely, 2^{505243761701280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505243761701280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963675024850944).

505243761701280 is an abundant number, since it is smaller than the sum of its proper divisors (1422106288000608).

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

505243761701280 is a wasteful number, since it uses less digits than its factorization.

505243761701280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2230 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 505243761701280 in words is "five hundred five trillion, two hundred forty-three billion, seven hundred sixty-one million, seven hundred one thousand, two hundred eighty".