5301589896960 has 288 divisors, whose sum is σ = 19358346857472. Its totient is φ = 1211319582720.

The previous prime is 5301589896881. The next prime is 5301589896983. The reversal of 5301589896960 is 696989851035.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71383045 + ... + 71457275.

It is an arithmetic number, because the mean of its divisors is an integer number (67216482144).

Almost surely, 2^{5301589896960} 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 5301589896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679173428736).

5301589896960 is an abundant number, since it is smaller than the sum of its proper divisors (14056756960512).

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

5301589896960 is a wasteful number, since it uses less digits than its factorization.

5301589896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76919 (or 76905 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 69.

The spelling of 5301589896960 in words is "five trillion, three hundred one billion, five hundred eighty-nine million, eight hundred ninety-six thousand, nine hundred sixty".