5169257856 has 192 divisors, whose sum is σ = 17158970400. Its totient is φ = 1463132160.

The previous prime is 5169257777. The next prime is 5169257867. The reversal of 5169257856 is 6587529615.

5169257856 is a `hidden beast` number, since 5 + 1 + 69 + 2 + 578 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 876036 + ... + 881916.

Almost surely, 2^5169257856 is an apocalyptic number.

5169257856 is a gapful number since it is divisible by the number (56) 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 5169257856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579485200).

5169257856 is an abundant number, since it is smaller than the sum of its proper divisors (11989712544).

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

5169257856 is a wasteful number, since it uses less digits than its factorization.

5169257856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017 (or 6002 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The square root of 5169257856 is about 71897.5511126770. The cubic root of 5169257856 is about 1729.0573518526.

The spelling of 5169257856 in words is "five billion, one hundred sixty-nine million, two hundred fifty-seven thousand, eight hundred fifty-six".