164653594560 has 672 divisors, whose sum is σ = 727696710720. Its totient is φ = 34738937856.

The previous prime is 164653594531. The next prime is 164653594613. The reversal of 164653594560 is 65495356461.

164653594560 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 535 + 9 + 45 + 60 = 666.

164653594560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×164653594560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 164653594497 and 164653594506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5488722 + ... + 5518638.

It is an arithmetic number, because the mean of its divisors is an integer number (1082882010).

Almost surely, 2^164653594560 is an apocalyptic number.

164653594560 is a gapful number since it is divisible by the number (10) 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 164653594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363848355360).

164653594560 is an abundant number, since it is smaller than the sum of its proper divisors (563043116160).

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

164653594560 is a wasteful number, since it uses less digits than its factorization.

164653594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29970 (or 29947 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 164653594560 in words is "one hundred sixty-four billion, six hundred fifty-three million, five hundred ninety-four thousand, five hundred sixty".