5189414880 has 384 divisors, whose sum is σ = 18397532160. Its totient is φ = 1220935680.

The previous prime is 5189414869. The next prime is 5189414891. The reversal of 5189414880 is 884149815.

It is an interprime number because it is at equal distance from previous prime (5189414869) and next prime (5189414891).

It is a super-3 number, since 3×5189414880³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 26888064 + ... + 26888256.

It is an arithmetic number, because the mean of its divisors is an integer number (47910240).

Almost surely, 2^5189414880 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 5189414880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9198766080).

5189414880 is an abundant number, since it is smaller than the sum of its proper divisors (13208117280).

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

5189414880 is a wasteful number, since it uses less digits than its factorization.

5189414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 48.

The square root of 5189414880 is about 72037.5935189398. The cubic root of 5189414880 is about 1731.3018679174.

The spelling of 5189414880 in words is "five billion, one hundred eighty-nine million, four hundred fourteen thousand, eight hundred eighty".