5281585102080 has 1152 divisors, whose sum is σ = 21683152296960. Its totient is φ = 1192482570240.

The previous prime is 5281585102021. The next prime is 5281585102093. The reversal of 5281585102080 is 802015851825.

5281585102080 is a `hidden beast` number, since 5 + 2 + 8 + 1 + 58 + 510 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9153526752 + ... + 9153527328.

Almost surely, 2^{5281585102080} 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 5281585102080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10841576148480).

5281585102080 is an abundant number, since it is smaller than the sum of its proper divisors (16401567194880).

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

5281585102080 is a wasteful number, since it uses less digits than its factorization.

5281585102080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 5281585102080 in words is "five trillion, two hundred eighty-one billion, five hundred eighty-five million, one hundred two thousand, eighty".