5009572818432 has 960 divisors, whose sum is σ = 18833482704960. Its totient is φ = 1302940090368.

The previous prime is 5009572818431. The next prime is 5009572818461. The reversal of 5009572818432 is 2348182759005.

5009572818432 is a `hidden beast` number, since 50 + 0 + 9 + 572 + 8 + 18 + 4 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009572818431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 642825928 + ... + 642833720.

It is an arithmetic number, because the mean of its divisors is an integer number (19618211151).

Almost surely, 2^{5009572818432} is an apocalyptic number.

5009572818432 is a gapful number since it is divisible by the number (52) 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 5009572818432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9416741352480).

5009572818432 is an abundant number, since it is smaller than the sum of its proper divisors (13823909886528).

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

5009572818432 is a wasteful number, since it uses less digits than its factorization.

5009572818432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7891 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 5009572818432 in words is "five trillion, nine billion, five hundred seventy-two million, eight hundred eighteen thousand, four hundred thirty-two".