5285500039680 has 1280 divisors, whose sum is σ = 21236007665664. Its totient is φ = 1093628067840.

The previous prime is 5285500039667. The next prime is 5285500039681. The reversal of 5285500039680 is 869300055825.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is not an unprimeable number, because it can be changed into a prime (5285500039681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5581308967 + ... + 5581309913.

Almost surely, 2^{5285500039680} 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 5285500039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10618003832832).

5285500039680 is an abundant number, since it is smaller than the sum of its proper divisors (15950507625984).

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

5285500039680 is a wasteful number, since it uses less digits than its factorization.

5285500039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 5285500039680 in words is "five trillion, two hundred eighty-five billion, five hundred million, thirty-nine thousand, six hundred eighty".