5159411712 has 336 divisors, whose sum is σ = 18367308960. Its totient is φ = 1358954496.

The previous prime is 5159411701. The next prime is 5159411713. The reversal of 5159411712 is 2171149515.

5159411712 is a `hidden beast` number, since 51 + 594 + 1 + 1 + 7 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×5159411712³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5159411713) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6708864 + ... + 6709632.

It is an arithmetic number, because the mean of its divisors is an integer number (54664610).

Almost surely, 2^5159411712 is an apocalyptic number.

5159411712 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 5159411712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9183654480).

5159411712 is an abundant number, since it is smaller than the sum of its proper divisors (13207897248).

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

5159411712 is a wasteful number, since it uses less digits than its factorization.

5159411712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 794 counting only the distinct ones).

The product of its digits is 12600, while the sum is 36.

The square root of 5159411712 is about 71829.0450444665. The cubic root of 5159411712 is about 1727.9588467565.

It can be divided in two parts, 515941 and 1712, that added together give a triangular number (517653 = T₁₀₁₇).

The spelling of 5159411712 in words is "five billion, one hundred fifty-nine million, four hundred eleven thousand, seven hundred twelve".