5169734960832 has 896 divisors, whose sum is σ = 17573831654400. Its totient is φ = 1477011013632.

The previous prime is 5169734960827. The next prime is 5169734960893. The reversal of 5169734960832 is 2380694379615.

5169734960832 is a `hidden beast` number, since 5 + 1 + 69 + 7 + 3 + 496 + 0 + 83 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5169734960832.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8378824588 + ... + 8378825204.

It is an arithmetic number, because the mean of its divisors is an integer number (19613651400).

It is a 1-persistent number, because it is pandigital, but 2⋅5169734960832 = 10339469921664 is not.

Almost surely, 2^{5169734960832} is an apocalyptic number.

5169734960832 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5169734960832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8786915827200).

5169734960832 is an abundant number, since it is smaller than the sum of its proper divisors (12404096693568).

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

5169734960832 is a wasteful number, since it uses less digits than its factorization.

5169734960832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 5169734960832 in words is "five trillion, one hundred sixty-nine billion, seven hundred thirty-four million, nine hundred sixty thousand, eight hundred thirty-two".