21360268160 has 384 divisors, whose sum is σ = 68233104000. Its totient is φ = 6305402880.

The previous prime is 21360268151. The next prime is 21360268211. The reversal of 21360268160 is 6186206312.

It is a super-2 number, since 2×21360268160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21360268160.

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 47 ways as a sum of consecutive naturals, for example, 6552611 + ... + 6555869.

It is an arithmetic number, because the mean of its divisors is an integer number (177690375).

Almost surely, 2^21360268160 is an apocalyptic number.

21360268160 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 21360268160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34116552000).

21360268160 is an abundant number, since it is smaller than the sum of its proper divisors (46872835840).

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

21360268160 is a wasteful number, since it uses less digits than its factorization.

21360268160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 21360268160 in words is "twenty-one billion, three hundred sixty million, two hundred sixty-eight thousand, one hundred sixty".