5716406520 has 320 divisors, whose sum is σ = 21170160000. Its totient is φ = 1371928320.

The previous prime is 5716406491. The next prime is 5716406551. The reversal of 5716406520 is 256046175.

It is a happy number.

5716406520 is a `hidden beast` number, since 5 + 7 + 1 + 640 + 6 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3812731 + ... + 3814229.

It is an arithmetic number, because the mean of its divisors is an integer number (66156750).

Almost surely, 2^5716406520 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 5716406520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10585080000).

5716406520 is an abundant number, since it is smaller than the sum of its proper divisors (15453753480).

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

5716406520 is a wasteful number, since it uses less digits than its factorization.

5716406520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1627 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5716406520 is about 75606.9211117607. The cubic root of 5716406520 is about 1788.0282190042.

The spelling of 5716406520 in words is "five billion, seven hundred sixteen million, four hundred six thousand, five hundred twenty".