5259584238720 has 1024 divisors, whose sum is σ = 20656075161600. Its totient is φ = 1111051468800.

The previous prime is 5259584238697. The next prime is 5259584238749. The reversal of 5259584238720 is 278324859525.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3808532430 + ... + 3808533810.

It is an arithmetic number, because the mean of its divisors is an integer number (20171948400).

Almost surely, 2^{5259584238720} 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 5259584238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10328037580800).

5259584238720 is an abundant number, since it is smaller than the sum of its proper divisors (15396490922880).

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

5259584238720 is a wasteful number, since it uses less digits than its factorization.

5259584238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 5259584238720 in words is "five trillion, two hundred fifty-nine billion, five hundred eighty-four million, two hundred thirty-eight thousand, seven hundred twenty".