5255871079680 has 2160 divisors, whose sum is σ = 21889266182784. Its totient is φ = 1196623134720.

The previous prime is 5255871079639. The next prime is 5255871079681. The reversal of 5255871079680 is 869701785525.

5255871079680 is a `hidden beast` number, since 5 + 2 + 558 + 7 + 1 + 0 + 79 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5255871079681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 40121153215 + ... + 40121153345.

Almost surely, 2^{5255871079680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5255871079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10944633091392).

5255871079680 is an abundant number, since it is smaller than the sum of its proper divisors (16633395103104).

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

5255871079680 is a wasteful number, since it uses less digits than its factorization.

5255871079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 5255871079680 in words is "five trillion, two hundred fifty-five billion, eight hundred seventy-one million, seventy-nine thousand, six hundred eighty".