275869946608960 has 224 divisors, whose sum is σ = 728596786095360. Its totient is φ = 98649152716800.

The previous prime is 275869946608943. The next prime is 275869946608973. The reversal of 275869946608960 is 69806649968572.

It is a super-2 number, since 2×275869946608960² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95800072 + ... + 98637688.

It is an arithmetic number, because the mean of its divisors is an integer number (3252664223640).

Almost surely, 2^{275869946608960} is an apocalyptic number.

275869946608960 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 275869946608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364298393047680).

275869946608960 is an abundant number, since it is smaller than the sum of its proper divisors (452726839486400).

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

275869946608960 is a wasteful number, since it uses less digits than its factorization.

275869946608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838105 (or 2838095 counting only the distinct ones).

The product of its (nonzero) digits is 16930529280, while the sum is 85.

The spelling of 275869946608960 in words is "two hundred seventy-five trillion, eight hundred sixty-nine billion, nine hundred forty-six million, six hundred eight thousand, nine hundred sixty".