516111440 has 80 divisors (see below), whose sum is σ = 1360329600. Its totient is φ = 180527616.

The previous prime is 516111439. The next prime is 516111443. The reversal of 516111440 is 44111615.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516111443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6701 + ... + 32819.

It is an arithmetic number, because the mean of its divisors is an integer number (17004120).

Almost surely, 2^516111440 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 516111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680164800).

516111440 is an abundant number, since it is smaller than the sum of its proper divisors (844218160).

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

516111440 is a wasteful number, since it uses less digits than its factorization.

516111440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26164 (or 26158 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 516111440 is about 22718.0861870009. The cubic root of 516111440 is about 802.1356685763.

The spelling of 516111440 in words is "five hundred sixteen million, one hundred eleven thousand, four hundred forty".