5084404577280 has 1760 divisors, whose sum is σ = 21951805286400. Its totient is φ = 1123685498880.

The previous prime is 5084404577267. The next prime is 5084404577321. The reversal of 5084404577280 is 827754044805.

5084404577280 is a `hidden beast` number, since 5 + 0 + 8 + 4 + 40 + 4 + 577 + 28 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4409717184 + ... + 4409718336.

It is an arithmetic number, because the mean of its divisors is an integer number (12472616640).

Almost surely, 2^{5084404577280} 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 5084404577280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975902643200).

5084404577280 is an abundant number, since it is smaller than the sum of its proper divisors (16867400709120).

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

5084404577280 is a wasteful number, since it uses less digits than its factorization.

5084404577280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 5084404577280 in words is "five trillion, eighty-four billion, four hundred four million, five hundred seventy-seven thousand, two hundred eighty".