65598623671680 has 1536 divisors, whose sum is σ = 260111554560000. Its totient is φ = 15087818833920.

The previous prime is 65598623671649. The next prime is 65598623671687. The reversal of 65598623671680 is 8617632689556.

65598623671680 is a `hidden beast` number, since 6 + 5 + 598 + 6 + 23 + 6 + 7 + 1 + 6 + 8 + 0 = 666.

65598623671680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 65598623671599 and 65598623671608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65598623671687) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 25435680631 + ... + 25435683209.

It is an arithmetic number, because the mean of its divisors is an integer number (169343460000).

Almost surely, 2^{65598623671680} is an apocalyptic number.

65598623671680 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 65598623671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130055777280000).

65598623671680 is an abundant number, since it is smaller than the sum of its proper divisors (194512930888320).

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

65598623671680 is a wasteful number, since it uses less digits than its factorization.

65598623671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 65598623671680 in words is "sixty-five trillion, five hundred ninety-eight billion, six hundred twenty-three million, six hundred seventy-one thousand, six hundred eighty".