5162815840 has 192 divisors, whose sum is σ = 15125806080. Its totient is φ = 1621555200.

The previous prime is 5162815837. The next prime is 5162815843. The reversal of 5162815840 is 485182615.

It is a happy number.

5162815840 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (5162815837) and next prime (5162815843).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 5162815793 and 5162815802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162815843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022565 + ... + 2025115.

It is an arithmetic number, because the mean of its divisors is an integer number (78780240).

Almost surely, 2^5162815840 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 5162815840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7562903040).

5162815840 is an abundant number, since it is smaller than the sum of its proper divisors (9962990240).

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

5162815840 is a wasteful number, since it uses less digits than its factorization.

5162815840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2725 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 40.

The square root of 5162815840 is about 71852.7371782036. The cubic root of 5162815840 is about 1728.3387931681.

The spelling of 5162815840 in words is "five billion, one hundred sixty-two million, eight hundred fifteen thousand, eight hundred forty".