5005471924800 has 756 divisors, whose sum is σ = 18405188969076. Its totient is φ = 1289869516800.

The previous prime is 5005471924757. The next prime is 5005471924823. The reversal of 5005471924800 is 84291745005.

5005471924800 is a `hidden beast` number, since 5 + 0 + 0 + 547 + 1 + 9 + 24 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2321405715456 + 2684066209344 = 1523616^2 + 1638312^2 .

It is a super-2 number, since 2×5005471924800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3057709582 + ... + 3057711218.

Almost surely, 2^{5005471924800} is an apocalyptic number.

5005471924800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005471924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202594484538).

5005471924800 is an abundant number, since it is smaller than the sum of its proper divisors (13399717044276).

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

5005471924800 is a wasteful number, since it uses less digits than its factorization.

5005471924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5005471924800 in words is "five trillion, five billion, four hundred seventy-one million, nine hundred twenty-four thousand, eight hundred".