5109284880 has 360 divisors, whose sum is σ = 20179380312. Its totient is φ = 1155022848.

The previous prime is 5109284863. The next prime is 5109284881. The reversal of 5109284880 is 884829015.

It is a happy number.

5109284880 is a `hidden beast` number, since 510 + 92 + 8 + 48 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1203534864 + 3905750016 = 34692^2 + 62496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5109284880² = 52209583969993228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5109284881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3421414 + ... + 3422906.

Almost surely, 2^5109284880 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 5109284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10089690156).

5109284880 is an abundant number, since it is smaller than the sum of its proper divisors (15070095432).

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

5109284880 is a wasteful number, since it uses less digits than its factorization.

5109284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 5109284880 is about 71479.2618876272. The cubic root of 5109284880 is about 1722.3445671778.

The spelling of 5109284880 in words is "five billion, one hundred nine million, two hundred eighty-four thousand, eight hundred eighty".