21268316160 has 720 divisors, whose sum is σ = 91028298816. Its totient is φ = 4473225216.

The previous prime is 21268316141. The next prime is 21268316183. The reversal of 21268316160 is 6161386212.

It is a happy number.

21268316160 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 8 + 31 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67092322 + ... + 67092638.

Almost surely, 2^21268316160 is an apocalyptic number.

21268316160 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 21268316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45514149408).

21268316160 is an abundant number, since it is smaller than the sum of its proper divisors (69759982656).

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

21268316160 is a wasteful number, since it uses less digits than its factorization.

21268316160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21268316160 in words is "twenty-one billion, two hundred sixty-eight million, three hundred sixteen thousand, one hundred sixty".