5169709440 has 512 divisors, whose sum is σ = 21229056000. Its totient is φ = 1164533760.

The previous prime is 5169709427. The next prime is 5169709459. The reversal of 5169709440 is 449079615.

5169709440 is a `hidden beast` number, since 516 + 9 + 7 + 0 + 94 + 40 = 666.

It is a super-2 number, since 2×5169709440² = 53451791388050227200, 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 63 ways as a sum of consecutive naturals, for example, 9555570 + ... + 9556110.

It is an arithmetic number, because the mean of its divisors is an integer number (41463000).

Almost surely, 2^5169709440 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 5169709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614528000).

5169709440 is an abundant number, since it is smaller than the sum of its proper divisors (16059346560).

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

5169709440 is a wasteful number, since it uses less digits than its factorization.

5169709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5169709440 is about 71900.6915126691. The cubic root of 5169709440 is about 1729.1077002727.

The spelling of 5169709440 in words is "five billion, one hundred sixty-nine million, seven hundred nine thousand, four hundred forty".