5109380640 has 768 divisors, whose sum is σ = 22617584640. Its totient is φ = 1048412160.

The previous prime is 5109380629. The next prime is 5109380657. The reversal of 5109380640 is 460839015.

5109380640 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 3 + 8 + 0 + 640 = 666.

It is a super-2 number, since 2×5109380640² = 52211541048813619200, which contains 22 as substring.

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 = 5109380595 and 5109380604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16117762 + ... + 16118078.

It is an arithmetic number, because the mean of its divisors is an integer number (29449980).

Almost surely, 2^5109380640 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 5109380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308792320).

5109380640 is an abundant number, since it is smaller than the sum of its proper divisors (17508204000).

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

5109380640 is a wasteful number, since it uses less digits than its factorization.

5109380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5109380640 is about 71479.9317291224. The cubic root of 5109380640 is about 1722.3553273715.

The spelling of 5109380640 in words is "five billion, one hundred nine million, three hundred eighty thousand, six hundred forty".