21193763560 has 64 divisors (see below), whose sum is σ = 50233593600. Its totient is φ = 8025267456.

The previous prime is 21193763537. The next prime is 21193763561. The reversal of 21193763560 is 6536739112.

It is a super-2 number, since 2×21193763560² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21193763561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071682 + ... + 1091278.

It is an arithmetic number, because the mean of its divisors is an integer number (784899900).

Almost surely, 2^21193763560 is an apocalyptic number.

21193763560 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 21193763560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25116796800).

21193763560 is an abundant number, since it is smaller than the sum of its proper divisors (29039830040).

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

21193763560 is a wasteful number, since it uses less digits than its factorization.

21193763560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21050 (or 21046 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The spelling of 21193763560 in words is "twenty-one billion, one hundred ninety-three million, seven hundred sixty-three thousand, five hundred sixty".