5109793920 has 768 divisors, whose sum is σ = 22615407360. Its totient is φ = 1032192000.

The previous prime is 5109793903. The next prime is 5109793933. The reversal of 5109793920 is 293979015.

It is a happy number.

It is a super-2 number, since 2×5109793920² = 52219987809737932800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18184180 + ... + 18184460.

It is an arithmetic number, because the mean of its divisors is an integer number (29447145).

Almost surely, 2^5109793920 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 5109793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11307703680).

5109793920 is an abundant number, since it is smaller than the sum of its proper divisors (17505613440).

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

5109793920 is a wasteful number, since it uses less digits than its factorization.

5109793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 5109793920 is about 71482.8225519950. The cubic root of 5109793920 is about 1722.4017645602.

The spelling of 5109793920 in words is "five billion, one hundred nine million, seven hundred ninety-three thousand, nine hundred twenty".