5169889239840 has 864 divisors, whose sum is σ = 19746968557680. Its totient is φ = 1224333066240.

The previous prime is 5169889239829. The next prime is 5169889239913. The reversal of 5169889239840 is 489329889615.

5169889239840 is a `hidden beast` number, since 51 + 69 + 8 + 8 + 92 + 398 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 272396311056 + 4897492928784 = 521916^2 + 2213028^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3472053816 + ... + 3472055304.

Almost surely, 2^{5169889239840} 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 5169889239840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873484278840).

5169889239840 is an abundant number, since it is smaller than the sum of its proper divisors (14577079317840).

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

5169889239840 is a wasteful number, since it uses less digits than its factorization.

5169889239840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 5169889239840 in words is "five trillion, one hundred sixty-nine billion, eight hundred eighty-nine million, two hundred thirty-nine thousand, eight hundred forty".