65994585129792 has 448 divisors, whose sum is σ = 218518437150720. Its totient is φ = 19349553715200.

The previous prime is 65994585129701. The next prime is 65994585129833. The reversal of 65994585129792 is 29792158549956.

65994585129792 is a `hidden beast` number, since 6 + 5 + 9 + 9 + 4 + 5 + 8 + 512 + 9 + 7 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5381595853 + ... + 5381608115.

It is an arithmetic number, because the mean of its divisors is an integer number (487764368640).

Almost surely, 2^{65994585129792} is an apocalyptic number.

65994585129792 is a gapful number since it is divisible by the number (62) 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 65994585129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109259218575360).

65994585129792 is an abundant number, since it is smaller than the sum of its proper divisors (152523852020928).

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

65994585129792 is a wasteful number, since it uses less digits than its factorization.

65994585129792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21459 (or 21443 counting only the distinct ones).

The product of its digits is 4408992000, while the sum is 81.

The spelling of 65994585129792 in words is "sixty-five trillion, nine hundred ninety-four billion, five hundred eighty-five million, one hundred twenty-nine thousand, seven hundred ninety-two".