5289129256320 has 1024 divisors, whose sum is σ = 23678552217600. Its totient is φ = 1085775446016.

The previous prime is 5289129256217. The next prime is 5289129256331. The reversal of 5289129256320 is 236529219825.

It is a happy number.

5289129256320 is a `hidden beast` number, since 5 + 28 + 9 + 1 + 292 + 5 + 6 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 58136307 + ... + 58227213.

It is an arithmetic number, because the mean of its divisors is an integer number (23123586150).

Almost surely, 2^{5289129256320} 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 5289129256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839276108800).

5289129256320 is an abundant number, since it is smaller than the sum of its proper divisors (18389422961280).

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

5289129256320 is a wasteful number, since it uses less digits than its factorization.

5289129256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90992 (or 90974 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5289129256320 in words is "five trillion, two hundred eighty-nine billion, one hundred twenty-nine million, two hundred fifty-six thousand, three hundred twenty".