5164083540 has 864 divisors, whose sum is σ = 21941756928. Its totient is φ = 967680000.

The previous prime is 5164083521. The next prime is 5164083569. The reversal of 5164083540 is 453804615.

It is a happy number.

5164083540 is a `hidden beast` number, since 5 + 1 + 640 + 8 + 3 + 5 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5164083495 and 5164083504.

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 287 ways as a sum of consecutive naturals, for example, 51129490 + ... + 51129590.

It is an arithmetic number, because the mean of its divisors is an integer number (25395552).

Almost surely, 2^5164083540 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 5164083540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10970878464).

5164083540 is an abundant number, since it is smaller than the sum of its proper divisors (16777673388).

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

5164083540 is a wasteful number, since it uses less digits than its factorization.

5164083540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5164083540 is about 71861.5581517685. The cubic root of 5164083540 is about 1728.4802428375.

The spelling of 5164083540 in words is "five billion, one hundred sixty-four million, eighty-three thousand, five hundred forty".