5689253430432 has 1440 divisors, whose sum is σ = 21256973337600. Its totient is φ = 1477405163520.

The previous prime is 5689253430407. The next prime is 5689253430433. The reversal of 5689253430432 is 2340343529865.

5689253430432 is a `hidden beast` number, since 5 + 6 + 89 + 253 + 4 + 304 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5689253430433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5475700569 + ... + 5475701607.

It is an arithmetic number, because the mean of its divisors is an integer number (14761787040).

Almost surely, 2^{5689253430432} is an apocalyptic number.

5689253430432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5689253430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10628486668800).

5689253430432 is an abundant number, since it is smaller than the sum of its proper divisors (15567719907168).

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

5689253430432 is a wasteful number, since it uses less digits than its factorization.

5689253430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 5689253430432 in words is "five trillion, six hundred eighty-nine billion, two hundred fifty-three million, four hundred thirty thousand, four hundred thirty-two".