65088965760 has 768 divisors, whose sum is σ = 273685910400. Its totient is φ = 13005619200.

The previous prime is 65088965743. The next prime is 65088965771. The reversal of 65088965760 is 6756988056.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 65088965694 and 65088965703.

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 95 ways as a sum of consecutive naturals, for example, 23236360 + ... + 23239160.

Almost surely, 2^65088965760 is an apocalyptic number.

65088965760 is a gapful number since it is divisible by the number (60) 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 65088965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136842955200).

65088965760 is an abundant number, since it is smaller than the sum of its proper divisors (208596944640).

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

65088965760 is a wasteful number, since it uses less digits than its factorization.

65088965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 60.

The spelling of 65088965760 in words is "sixty-five billion, eighty-eight million, nine hundred sixty-five thousand, seven hundred sixty".