275428565017680 has 480 divisors, whose sum is σ = 887633419825152. Its totient is φ = 70605981286400.

The previous prime is 275428565017637. The next prime is 275428565017699. The reversal of 275428565017680 is 86710565824572.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21736917745 + ... + 21736930415.

Almost surely, 2^{275428565017680} is an apocalyptic number.

275428565017680 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 275428565017680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443816709912576).

275428565017680 is an abundant number, since it is smaller than the sum of its proper divisors (612204854807472).

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

275428565017680 is a wasteful number, since it uses less digits than its factorization.

275428565017680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13127 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 66.

The spelling of 275428565017680 in words is "two hundred seventy-five trillion, four hundred twenty-eight billion, five hundred sixty-five million, seventeen thousand, six hundred eighty".