275998459968 has 1344 divisors, whose sum is σ = 1085224550400. Its totient is φ = 68497228800.

The previous prime is 275998459951. The next prime is 275998460011. The reversal of 275998459968 is 869954899572.

275998459968 is a `hidden beast` number, since 2 + 75 + 9 + 9 + 8 + 459 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×275998459968² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3493651353 + ... + 3493651431.

Almost surely, 2^275998459968 is an apocalyptic number.

275998459968 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 275998459968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542612275200).

275998459968 is an abundant number, since it is smaller than the sum of its proper divisors (809226090432).

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

275998459968 is a wasteful number, since it uses less digits than its factorization.

275998459968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 133 counting only the distinct ones).

The product of its digits is 3527193600, while the sum is 81.

The spelling of 275998459968 in words is "two hundred seventy-five billion, nine hundred ninety-eight million, four hundred fifty-nine thousand, nine hundred sixty-eight".