65083993128 has 480 divisors, whose sum is σ = 241518594240. Its totient is φ = 15853086720.

The previous prime is 65083992989. The next prime is 65083993199. The reversal of 65083993128 is 82139938056.

65083993128 is a `hidden beast` number, since 6 + 508 + 3 + 9 + 9 + 3 + 128 = 666.

It is a super-2 number, since 2×65083993128² (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 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 119 ways as a sum of consecutive naturals, for example, 234960126 + ... + 234960402.

It is an arithmetic number, because the mean of its divisors is an integer number (503163738).

Almost surely, 2^65083993128 is an apocalyptic number.

65083993128 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 65083993128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120759297120).

65083993128 is an abundant number, since it is smaller than the sum of its proper divisors (176434601112).

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

65083993128 is a wasteful number, since it uses less digits than its factorization.

65083993128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 65083993128 in words is "sixty-five billion, eighty-three million, nine hundred ninety-three thousand, one hundred twenty-eight".