65496789122688 has 512 divisors, whose sum is σ = 243980957952000. Its totient is φ = 17012147420160.

The previous prime is 65496789122669. The next prime is 65496789122759. The reversal of 65496789122688 is 88622198769456.

65496789122688 is a `hidden beast` number, since 6 + 549 + 6 + 7 + 8 + 9 + 1 + 2 + 2 + 68 + 8 = 666.

65496789122688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×65496789122688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20035783 + ... + 23074361.

It is an arithmetic number, because the mean of its divisors is an integer number (476525308500).

Almost surely, 2^{65496789122688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65496789122688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121990478976000).

65496789122688 is an abundant number, since it is smaller than the sum of its proper divisors (178484168829312).

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

65496789122688 is an equidigital number, since it uses as much as digits as its factorization.

65496789122688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038632 (or 3038602 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 81.

The spelling of 65496789122688 in words is "sixty-five trillion, four hundred ninety-six billion, seven hundred eighty-nine million, one hundred twenty-two thousand, six hundred eighty-eight".