21130869760 has 1056 divisors, whose sum is σ = 75271956480. Its totient is φ = 5573836800.

The previous prime is 21130869743. The next prime is 21130869803. The reversal of 21130869760 is 6796803112.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 681640945 + ... + 681640975.

Almost surely, 2^21130869760 is an apocalyptic number.

21130869760 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 21130869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37635978240).

21130869760 is an abundant number, since it is smaller than the sum of its proper divisors (54141086720).

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

21130869760 is a wasteful number, since it uses less digits than its factorization.

21130869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The spelling of 21130869760 in words is "twenty-one billion, one hundred thirty million, eight hundred sixty-nine thousand, seven hundred sixty".