21301335720 has 256 divisors, whose sum is σ = 81248256000. Its totient is φ = 4862861568.

The previous prime is 21301335707. The next prime is 21301335721. The reversal of 21301335720 is 2753310312.

21301335720 is a `hidden beast` number, since 2 + 1 + 301 + 3 + 357 + 2 + 0 = 666.

It is a super-2 number, since 2×21301335720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21301335721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 9668139 + ... + 9670341.

It is an arithmetic number, because the mean of its divisors is an integer number (317376000).

Almost surely, 2^21301335720 is an apocalyptic number.

21301335720 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 21301335720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40624128000).

21301335720 is an abundant number, since it is smaller than the sum of its proper divisors (59946920280).

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

21301335720 is a wasteful number, since it uses less digits than its factorization.

21301335720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3509 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 21301335720 in words is "twenty-one billion, three hundred one million, three hundred thirty-five thousand, seven hundred twenty".