21290330880 has 864 divisors, whose sum is σ = 94710260736. Its totient is φ = 4291854336.

The previous prime is 21290330849. The next prime is 21290330917. The reversal of 21290330880 is 8803309212.

It is a happy number.

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

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, 24110919 + ... + 24111801.

Almost surely, 2^21290330880 is an apocalyptic number.

21290330880 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 21290330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47355130368).

21290330880 is an abundant number, since it is smaller than the sum of its proper divisors (73419929856).

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

21290330880 is a wasteful number, since it uses less digits than its factorization.

21290330880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 21290330880 in words is "twenty-one billion, two hundred ninety million, three hundred thirty thousand, eight hundred eighty".