65006651878560 has 576 divisors, whose sum is σ = 265242605951232. Its totient is φ = 14727163723776.

The previous prime is 65006651878457. The next prime is 65006651878573. The reversal of 65006651878560 is 6587815660056.

It is a happy number.

65006651878560 is a `hidden beast` number, since 6 + 5 + 0 + 0 + 6 + 65 + 1 + 8 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29697202 + ... + 31810958.

It is an arithmetic number, because the mean of its divisors is an integer number (460490635332).

Almost surely, 2^{65006651878560} is an apocalyptic number.

65006651878560 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 65006651878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132621302975616).

65006651878560 is an abundant number, since it is smaller than the sum of its proper divisors (200235954072672).

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

65006651878560 is a wasteful number, since it uses less digits than its factorization.

65006651878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2113907 (or 2113887 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 65006651878560 in words is "sixty-five trillion, six billion, six hundred fifty-one million, eight hundred seventy-eight thousand, five hundred sixty".