5053859190240 has 1536 divisors, whose sum is σ = 21194514432000. Its totient is φ = 984190943232.

The previous prime is 5053859190229. The next prime is 5053859190409. The reversal of 5053859190240 is 420919583505.

It is a happy number.

It is a Cunningham number, because it is equal to 2248079²-1.

It is a super-2 number, since 2×5053859190240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3241730581 + ... + 3241732139.

It is an arithmetic number, because the mean of its divisors is an integer number (13798512000).

Almost surely, 2^{5053859190240} 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 5053859190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10597257216000).

5053859190240 is an abundant number, since it is smaller than the sum of its proper divisors (16140655241760).

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

5053859190240 is a wasteful number, since it uses less digits than its factorization.

5053859190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 5053859190240 in words is "five trillion, fifty-three billion, eight hundred fifty-nine million, one hundred ninety thousand, two hundred forty".