21760696320 has 448 divisors, whose sum is σ = 80513139456. Its totient is φ = 4959764480.

The previous prime is 21760696319. The next prime is 21760696369. The reversal of 21760696320 is 2369606712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22978087 + ... + 22979033.

Almost surely, 2^21760696320 is an apocalyptic number.

21760696320 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 21760696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40256569728).

21760696320 is an abundant number, since it is smaller than the sum of its proper divisors (58752443136).

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

21760696320 is a wasteful number, since it uses less digits than its factorization.

21760696320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 21760696320 in words is "twenty-one billion, seven hundred sixty million, six hundred ninety-six thousand, three hundred twenty".