5164088040 has 128 divisors (see below), whose sum is σ = 17235504000. Its totient is φ = 1375340544.

The previous prime is 5164088021. The next prime is 5164088051. The reversal of 5164088040 is 408804615.

5164088040 is a `hidden beast` number, since 5 + 1 + 640 + 8 + 8 + 0 + 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 = 5164087986 and 5164088004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1000747 + ... + 1005893.

It is an arithmetic number, because the mean of its divisors is an integer number (134652375).

Almost surely, 2^5164088040 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 5164088040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8617752000).

5164088040 is an abundant number, since it is smaller than the sum of its proper divisors (12071415960).

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

5164088040 is a wasteful number, since it uses less digits than its factorization.

5164088040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6096 (or 6086 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5164088040 is about 71861.5894619650. The cubic root of 5164088040 is about 1728.4807449052.

The spelling of 5164088040 in words is "five billion, one hundred sixty-four million, eighty-eight thousand, forty".