275305077264 has 320 divisors, whose sum is σ = 877155287040. Its totient is φ = 72674426880.

The previous prime is 275305077259. The next prime is 275305077349. The reversal of 275305077264 is 462770503572.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222558054 + ... + 222559290.

It is an arithmetic number, because the mean of its divisors is an integer number (2741110272).

Almost surely, 2^275305077264 is an apocalyptic number.

275305077264 is a gapful number since it is divisible by the number (24) 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 275305077264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438577643520).

275305077264 is an abundant number, since it is smaller than the sum of its proper divisors (601850209776).

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

275305077264 is a wasteful number, since it uses less digits than its factorization.

275305077264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 275305077264 in words is "two hundred seventy-five billion, three hundred five million, seventy-seven thousand, two hundred sixty-four".