21753164160 has 768 divisors, whose sum is σ = 94524917760. Its totient is φ = 4486938624.

The previous prime is 21753164149. The next prime is 21753164183. The reversal of 21753164160 is 6146135712.

21753164160 is a `hidden beast` number, since 2 + 1 + 7 + 5 + 3 + 1 + 641 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24635079 + ... + 24635961.

It is an arithmetic number, because the mean of its divisors is an integer number (123079320).

Almost surely, 2^21753164160 is an apocalyptic number.

21753164160 is a gapful number since it is divisible by the number (20) 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 21753164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262458880).

21753164160 is an abundant number, since it is smaller than the sum of its proper divisors (72771753600).

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

21753164160 is a wasteful number, since it uses less digits than its factorization.

21753164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 21753164160 its reverse (6146135712), we get a palindrome (27899299872).

The spelling of 21753164160 in words is "twenty-one billion, seven hundred fifty-three million, one hundred sixty-four thousand, one hundred sixty".