21160124743680 has 1920 divisors, whose sum is σ = 85659350040000. Its totient is φ = 4946594365440.

The previous prime is 21160124743673. The next prime is 21160124743763. The reversal of 21160124743680 is 8634742106112.

21160124743680 is a `hidden beast` number, since 2 + 1 + 1 + 60 + 12 + 474 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346887290850 + ... + 346887290910.

Almost surely, 2^{21160124743680} is an apocalyptic number.

21160124743680 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 21160124743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42829675020000).

21160124743680 is an abundant number, since it is smaller than the sum of its proper divisors (64499225296320).

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

21160124743680 is an frugal number, since it uses more digits than its factorization.

21160124743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

Adding to 21160124743680 its reverse (8634742106112), we get a palindrome (29794866849792).

The spelling of 21160124743680 in words is "twenty-one trillion, one hundred sixty billion, one hundred twenty-four million, seven hundred forty-three thousand, six hundred eighty".