21290304000 has 960 divisors, whose sum is σ = 86162199552. Its totient is φ = 4644864000.

The previous prime is 21290303981. The next prime is 21290304017. The reversal of 21290304000 is 40309212.

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 (21).

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, 291647964 + ... + 291648036.

Almost surely, 2^21290304000 is an apocalyptic number.

21290304000 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 21290304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43081099776).

21290304000 is an abundant number, since it is smaller than the sum of its proper divisors (64871895552).

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

21290304000 is an equidigital number, since it uses as much as digits as its factorization.

21290304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 21290304000 in words is "twenty-one billion, two hundred ninety million, three hundred four thousand".