5079251681280 has 720 divisors, whose sum is σ = 20812937856480. Its totient is φ = 1160886878208.

The previous prime is 5079251681243. The next prime is 5079251681293. The reversal of 5079251681280 is 821861529705.

5079251681280 is a `hidden beast` number, since 50 + 7 + 9 + 251 + 68 + 1 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 371582286 + ... + 371595954.

It is an arithmetic number, because the mean of its divisors is an integer number (28906858134).

Almost surely, 2^{5079251681280} 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 5079251681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10406468928240).

5079251681280 is an abundant number, since it is smaller than the sum of its proper divisors (15733686175200).

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

5079251681280 is an frugal number, since it uses more digits than its factorization.

5079251681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13727 (or 13686 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5079251681280 in words is "five trillion, seventy-nine billion, two hundred fifty-one million, six hundred eighty-one thousand, two hundred eighty".