5519354880 has 352 divisors, whose sum is σ = 19247171328. Its totient is φ = 1341849600.

The previous prime is 5519354857. The next prime is 5519354887. The reversal of 5519354880 is 884539155.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (5519354887) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26157975 + ... + 26158185.

It is an arithmetic number, because the mean of its divisors is an integer number (54679464).

Almost surely, 2^5519354880 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 5519354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623585664).

5519354880 is an abundant number, since it is smaller than the sum of its proper divisors (13727816448).

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

5519354880 is a wasteful number, since it uses less digits than its factorization.

5519354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The square root of 5519354880 is about 74292.3608455136. The cubic root of 5519354880 is about 1767.2423335019.

The spelling of 5519354880 in words is "five billion, five hundred nineteen million, three hundred fifty-four thousand, eight hundred eighty".