65981023589376 has 792 divisors, whose sum is σ = 238509165960936. Its totient is φ = 17451806883840.

The previous prime is 65981023589363. The next prime is 65981023589423. The reversal of 65981023589376 is 67398532018956.

65981023589376 is a `hidden beast` number, since 6 + 5 + 9 + 8 + 1 + 0 + 2 + 3 + 589 + 37 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6082339737600 + 59898683851776 = 2466240^2 + 7739424^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 468222160 + ... + 468363056.

Almost surely, 2^{65981023589376} 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 65981023589376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119254582980468).

65981023589376 is an abundant number, since it is smaller than the sum of its proper divisors (172528142371560).

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

65981023589376 is a wasteful number, since it uses less digits than its factorization.

65981023589376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141015 (or 140987 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 65981023589376 in words is "sixty-five trillion, nine hundred eighty-one billion, twenty-three million, five hundred eighty-nine thousand, three hundred seventy-six".