5519610880000 has 700 divisors, whose sum is σ = 16127612785350. Its totient is φ = 1888223232000.

The previous prime is 5519610879983. The next prime is 5519610880013. The reversal of 5519610880000 is 880169155.

It can be written as a sum of positive squares in 5 ways, for example, as 148786089984 + 5370824790016 = 385728^2 + 2317504^2 .

It is a tau number, because it is divible by the number of its divisors (700).

It is a super-2 number, since 2×5519610880000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 12293119776 + ... + 12293120224.

Almost surely, 2^{5519610880000} is an apocalyptic number.

5519610880000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5519610880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063806392675).

5519610880000 is an abundant number, since it is smaller than the sum of its proper divisors (10608001905350).

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

5519610880000 is an frugal number, since it uses more digits than its factorization.

5519610880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 5519610880000 in words is "five trillion, five hundred nineteen billion, six hundred ten million, eight hundred eighty thousand".