5117834880 has 512 divisors, whose sum is σ = 19270656000. Its totient is φ = 1280987136.

The previous prime is 5117834873. The next prime is 5117834923. The reversal of 5117834880 is 884387115.

It is a happy number.

It is a super-2 number, since 2×5117834880² = 52384467717889228800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31397679 + ... + 31397841.

It is an arithmetic number, because the mean of its divisors is an integer number (37638000).

Almost surely, 2^5117834880 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 5117834880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9635328000).

5117834880 is an abundant number, since it is smaller than the sum of its proper divisors (14152821120).

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

5117834880 is a wasteful number, since it uses less digits than its factorization.

5117834880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 5117834880 is about 71539.0444442753. The cubic root of 5117834880 is about 1723.3047693533.

The spelling of 5117834880 in words is "five billion, one hundred seventeen million, eight hundred thirty-four thousand, eight hundred eighty".