21322990080 has 960 divisors, whose sum is σ = 90084234240. Its totient is φ = 4558159872.

The previous prime is 21322990001. The next prime is 21322990133. The reversal of 21322990080 is 8009922312.

21322990080 = 7886² + 7887² + ... + 8214².

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 219824592 + ... + 219824688.

It is an arithmetic number, because the mean of its divisors is an integer number (93837744).

Almost surely, 2^21322990080 is an apocalyptic number.

21322990080 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 21322990080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45042117120).

21322990080 is an abundant number, since it is smaller than the sum of its proper divisors (68761244160).

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

21322990080 is a wasteful number, since it uses less digits than its factorization.

21322990080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 21322990080 in words is "twenty-one billion, three hundred twenty-two million, nine hundred ninety thousand, eighty".