275263930368 has 1080 divisors, whose sum is σ = 1027932770592. Its totient is φ = 73128738816.

The previous prime is 275263930367. The next prime is 275263930391. The reversal of 275263930368 is 863039362572.

It is a happy number.

275263930368 is a `hidden beast` number, since 2 + 75 + 263 + 9 + 303 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (275263930367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3316432855 + ... + 3316432937.

Almost surely, 2^275263930368 is an apocalyptic number.

275263930368 is a gapful number since it is divisible by the number (28) 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 275263930368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513966385296).

275263930368 is an abundant number, since it is smaller than the sum of its proper divisors (752668840224).

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

275263930368 is an frugal number, since it uses more digits than its factorization.

275263930368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 275263930368 in words is "two hundred seventy-five billion, two hundred sixty-three million, nine hundred thirty thousand, three hundred sixty-eight".