65993272128 has 1008 divisors, whose sum is σ = 254182717440. Its totient is φ = 16679706624.

The previous prime is 65993272069. The next prime is 65993272133. The reversal of 65993272128 is 82127239956.

65993272128 is a `hidden beast` number, since 6 + 599 + 3 + 2 + 7 + 21 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×65993272128² (a number of 22 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 519632001 + ... + 519632127.

Almost surely, 2^65993272128 is an apocalyptic number.

65993272128 is a gapful number since it is divisible by the number (68) 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 65993272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127091358720).

65993272128 is an abundant number, since it is smaller than the sum of its proper divisors (188189445312).

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

65993272128 is a wasteful number, since it uses less digits than its factorization.

65993272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 175 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 65993272128 in words is "sixty-five billion, nine hundred ninety-three million, two hundred seventy-two thousand, one hundred twenty-eight".