5009574366720 has 3200 divisors, whose sum is σ = 23956466688000. Its totient is φ = 969847603200.

The previous prime is 5009574366697. The next prime is 5009574366721. The reversal of 5009574366720 is 276634759005.

5009574366720 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 574 + 3 + 6 + 67 + 2 + 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 not an unprimeable number, because it can be changed into a prime (5009574366721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14354081106 + ... + 14354081454.

It is an arithmetic number, because the mean of its divisors is an integer number (7486395840).

Almost surely, 2^{5009574366720} 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 5009574366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978233344000).

5009574366720 is an abundant number, since it is smaller than the sum of its proper divisors (18946892321280).

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

5009574366720 is a wasteful number, since it uses less digits than its factorization.

5009574366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 5009574366720 in words is "five trillion, nine billion, five hundred seventy-four million, three hundred sixty-six thousand, seven hundred twenty".