21769714920 has 128 divisors (see below), whose sum is σ = 67131187200. Its totient is φ = 5644525824.

The previous prime is 21769714903. The next prime is 21769714927. The reversal of 21769714920 is 2941796712.

It is a self number, because there is not a number n which added to its sum of digits gives 21769714920.

It is not an unprimeable number, because it can be changed into a prime (21769714927) 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 31 ways as a sum of consecutive naturals, for example, 1141221 + ... + 1160139.

It is an arithmetic number, because the mean of its divisors is an integer number (524462400).

Almost surely, 2^21769714920 is an apocalyptic number.

21769714920 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 21769714920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33565593600).

21769714920 is an abundant number, since it is smaller than the sum of its proper divisors (45361472280).

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

21769714920 is a wasteful number, since it uses less digits than its factorization.

21769714920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19199 (or 19195 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 21769714920 in words is "twenty-one billion, seven hundred sixty-nine million, seven hundred fourteen thousand, nine hundred twenty".