5009224686480 has 960 divisors, whose sum is σ = 20487156738048. Its totient is φ = 1113652592640.

The previous prime is 5009224686313. The next prime is 5009224686493. The reversal of 5009224686480 is 846864229005.

5009224686480 is a `hidden beast` number, since 50 + 0 + 92 + 2 + 468 + 6 + 48 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1503818415 + ... + 1503821745.

Almost surely, 2^{5009224686480} 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 5009224686480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243578369024).

5009224686480 is an abundant number, since it is smaller than the sum of its proper divisors (15477932051568).

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

5009224686480 is a wasteful number, since it uses less digits than its factorization.

5009224686480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 5009224686480 in words is "five trillion, nine billion, two hundred twenty-four million, six hundred eighty-six thousand, four hundred eighty".