5059224938880 has 1536 divisors, whose sum is σ = 21492727142400. Its totient is φ = 1101529497600.

The previous prime is 5059224938863. The next prime is 5059224938891. The reversal of 5059224938880 is 888394229505.

5059224938880 is a `hidden beast` number, since 5 + 0 + 5 + 9 + 2 + 249 + 388 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8253221454 + ... + 8253222066.

It is an arithmetic number, because the mean of its divisors is an integer number (13992660900).

Almost surely, 2^{5059224938880} 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 5059224938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10746363571200).

5059224938880 is an abundant number, since it is smaller than the sum of its proper divisors (16433502203520).

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

5059224938880 is a wasteful number, since it uses less digits than its factorization.

5059224938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 5059224938880 in words is "five trillion, fifty-nine billion, two hundred twenty-four million, nine hundred thirty-eight thousand, eight hundred eighty".