21769282080 has 576 divisors, whose sum is σ = 92065559040. Its totient is φ = 4588406784.

The previous prime is 21769282057. The next prime is 21769282111. The reversal of 21769282080 is 8028296712.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22145269 + ... + 22146251.

It is an arithmetic number, because the mean of its divisors is an integer number (159836040).

Almost surely, 2^21769282080 is an apocalyptic number.

21769282080 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 21769282080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46032779520).

21769282080 is an abundant number, since it is smaller than the sum of its proper divisors (70296276960).

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

21769282080 is a wasteful number, since it uses less digits than its factorization.

21769282080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 21769282080 in words is "twenty-one billion, seven hundred sixty-nine million, two hundred eighty-two thousand, eighty".