56289999935232 has 1152 divisors, whose sum is σ = 196050239723520. Its totient is φ = 15601523097600.

The previous prime is 56289999935201. The next prime is 56289999935261. The reversal of 56289999935232 is 23253999998265.

56289999935232 is a `hidden beast` number, since 5 + 6 + 2 + 89 + 9 + 9 + 9 + 9 + 3 + 523 + 2 = 666.

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

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, 55567620358 + ... + 55567621370.

It is an arithmetic number, because the mean of its divisors is an integer number (170182499760).

Almost surely, 2^{56289999935232} 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 56289999935232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98025119861760).

56289999935232 is an abundant number, since it is smaller than the sum of its proper divisors (139760239788288).

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

56289999935232 is a wasteful number, since it uses less digits than its factorization.

56289999935232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1346 counting only the distinct ones).

The product of its digits is 5101833600, while the sum is 81.

The spelling of 56289999935232 in words is "fifty-six trillion, two hundred eighty-nine billion, nine hundred ninety-nine million, nine hundred thirty-five thousand, two hundred thirty-two".