275466535680 has 1152 divisors, whose sum is σ = 1109152235520. Its totient is φ = 56853135360.

The previous prime is 275466535639. The next prime is 275466535691. The reversal of 275466535680 is 86535664572.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 275466535680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2010704572 + ... + 2010704708.

It is an arithmetic number, because the mean of its divisors is an integer number (962805760).

Almost surely, 2^275466535680 is an apocalyptic number.

275466535680 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 275466535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554576117760).

275466535680 is an abundant number, since it is smaller than the sum of its proper divisors (833685699840).

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

275466535680 is a wasteful number, since it uses less digits than its factorization.

275466535680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 275466535680 in words is "two hundred seventy-five billion, four hundred sixty-six million, five hundred thirty-five thousand, six hundred eighty".