275978496245760 has 4256 divisors, whose sum is σ = 1288610137534464. Its totient is φ = 55496304230400.

The previous prime is 275978496245741. The next prime is 275978496245833. The reversal of 275978496245760 is 67542694879572.

275978496245760 is a `hidden beast` number, since 2 + 7 + 5 + 9 + 7 + 8 + 49 + 62 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 275978496245760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 8902532136945 + ... + 8902532136975.

Almost surely, 2^{275978496245760} is an apocalyptic number.

275978496245760 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 275978496245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644305068767232).

275978496245760 is an abundant number, since it is smaller than the sum of its proper divisors (1012631641288704).

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

275978496245760 is an frugal number, since it uses more digits than its factorization.

275978496245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 12802406400, while the sum is 81.

The spelling of 275978496245760 in words is "two hundred seventy-five trillion, nine hundred seventy-eight billion, four hundred ninety-six million, two hundred forty-five thousand, seven hundred sixty".