5468279129280 has 560 divisors, whose sum is σ = 21269447980704. Its totient is φ = 1322552033280.

The previous prime is 5468279129267. The next prime is 5468279129297. The reversal of 5468279129280 is 829219728645.

5468279129280 is a `hidden beast` number, since 5 + 4 + 68 + 279 + 1 + 29 + 280 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 123434814 + ... + 123479106.

Almost surely, 2^{5468279129280} 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 5468279129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10634723990352).

5468279129280 is an abundant number, since it is smaller than the sum of its proper divisors (15801168851424).

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

5468279129280 is a wasteful number, since it uses less digits than its factorization.

5468279129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44766 (or 44747 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 5468279129280 in words is "five trillion, four hundred sixty-eight billion, two hundred seventy-nine million, one hundred twenty-nine thousand, two hundred eighty".