21256016760 has 768 divisors, whose sum is σ = 82875985920. Its totient is φ = 4892659200.

The previous prime is 21256016741. The next prime is 21256016767. The reversal of 21256016760 is 6761065212.

It is a happy number.

21256016760 is a `hidden beast` number, since 2 + 12 + 560 + 16 + 76 + 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 not an unprimeable number, because it can be changed into a prime (21256016767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401056894 + ... + 401056946.

It is an arithmetic number, because the mean of its divisors is an integer number (107911440).

Almost surely, 2^21256016760 is an apocalyptic number.

21256016760 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 21256016760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41437992960).

21256016760 is an abundant number, since it is smaller than the sum of its proper divisors (61619969160).

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

21256016760 is a wasteful number, since it uses less digits than its factorization.

21256016760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 105 counting only the distinct ones).

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

The spelling of 21256016760 in words is "twenty-one billion, two hundred fifty-six million, sixteen thousand, seven hundred sixty".