5169507840 has 720 divisors, whose sum is σ = 22013568720. Its totient is φ = 1114767360.

The previous prime is 5169507817. The next prime is 5169507869. The reversal of 5169507840 is 487059615.

5169507840 is a `hidden beast` number, since 5 + 1 + 69 + 507 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×5169507840² = 53447622615642931200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21450120 + ... + 21450360.

It is an arithmetic number, because the mean of its divisors is an integer number (30574401).

Almost surely, 2^5169507840 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 5169507840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11006784360).

5169507840 is an abundant number, since it is smaller than the sum of its proper divisors (16844060880).

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

5169507840 is a wasteful number, since it uses less digits than its factorization.

5169507840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5169507840 is about 71899.2895653358. The cubic root of 5169507840 is about 1729.0852236618.

The spelling of 5169507840 in words is "five billion, one hundred sixty-nine million, five hundred seven thousand, eight hundred forty".