5005473579584 has 336 divisors, whose sum is σ = 10732114704384. Its totient is φ = 2314891837440.

The previous prime is 5005473579539. The next prime is 5005473579607. The reversal of 5005473579584 is 4859753745005.

It is a super-2 number, since 2×5005473579584² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39413177729 + ... + 39413177855.

Almost surely, 2^{5005473579584} 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 5005473579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366057352192).

5005473579584 is an abundant number, since it is smaller than the sum of its proper divisors (5726641124800).

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

5005473579584 is a wasteful number, since it uses less digits than its factorization.

5005473579584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 105840000, while the sum is 62.

The spelling of 5005473579584 in words is "five trillion, five billion, four hundred seventy-three million, five hundred seventy-nine thousand, five hundred eighty-four".