5009668436880 has 800 divisors, whose sum is σ = 19231854127200. Its totient is φ = 1203232112640.

The previous prime is 5009668436879. The next prime is 5009668436881. The reversal of 5009668436880 is 886348669005.

5009668436880 is a `hidden beast` number, since 50 + 0 + 96 + 68 + 4 + 368 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5009668436879) and next prime (5009668436881).

It can be written as a sum of positive squares in 16 ways, for example, as 799407657216 + 4210260779664 = 894096^2 + 2051892^2 .

It is not an unprimeable number, because it can be changed into a prime (5009668436881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 248621046 + ... + 248641194.

It is an arithmetic number, because the mean of its divisors is an integer number (24039817659).

Almost surely, 2^{5009668436880} 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 5009668436880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9615927063600).

5009668436880 is an abundant number, since it is smaller than the sum of its proper divisors (14222185690320).

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

5009668436880 is a wasteful number, since it uses less digits than its factorization.

5009668436880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20289 (or 20274 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5009668436880 in words is "five trillion, nine billion, six hundred sixty-eight million, four hundred thirty-six thousand, eight hundred eighty".