65826408960 has 960 divisors, whose sum is σ = 265426761600. Its totient is φ = 14937882624.

The previous prime is 65826408953. The next prime is 65826408961. The reversal of 65826408960 is 6980462856.

It is a happy number.

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

It is a super-2 number, since 2×65826408960² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 65826408897 and 65826408906.

It is not an unprimeable number, because it can be changed into a prime (65826408961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244707706 + ... + 244707974.

It is an arithmetic number, because the mean of its divisors is an integer number (276486210).

Almost surely, 2^65826408960 is an apocalyptic number.

65826408960 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 65826408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132713380800).

65826408960 is an abundant number, since it is smaller than the sum of its proper divisors (199600352640).

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

65826408960 is a wasteful number, since it uses less digits than its factorization.

65826408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 65826408960 in words is "sixty-five billion, eight hundred twenty-six million, four hundred eight thousand, nine hundred sixty".