65866536960 has 960 divisors, whose sum is σ = 264270988800. Its totient is φ = 13959364608.

The previous prime is 65866536949. The next prime is 65866536991. The reversal of 65866536960 is 6963566856.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×65866536960² (a number of 22 digits) contains 22 as substring.

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 = 65866536894 and 65866536903.

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 79 ways as a sum of consecutive naturals, for example, 1401415657 + ... + 1401415703.

It is an arithmetic number, because the mean of its divisors is an integer number (275282280).

Almost surely, 2^65866536960 is an apocalyptic number.

65866536960 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 65866536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132135494400).

65866536960 is an abundant number, since it is smaller than the sum of its proper divisors (198404451840).

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

65866536960 is an equidigital number, since it uses as much as digits as its factorization.

65866536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 60.

The spelling of 65866536960 in words is "sixty-five billion, eight hundred sixty-six million, five hundred thirty-six thousand, nine hundred sixty".