21338964000 has 480 divisors, whose sum is σ = 79570947456. Its totient is φ = 5599756800.

The previous prime is 21338963999. The next prime is 21338964001. The reversal of 21338964000 is 46983312.

21338964000 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 8 + 9 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21338963999) and next prime (21338964001).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (21338964001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21707509 + ... + 21708491.

Almost surely, 2^21338964000 is an apocalyptic number.

21338964000 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 21338964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39785473728).

21338964000 is an abundant number, since it is smaller than the sum of its proper divisors (58231983456).

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

21338964000 is an equidigital number, since it uses as much as digits as its factorization.

21338964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 21338964000 in words is "twenty-one billion, three hundred thirty-eight million, nine hundred sixty-four thousand".