21011032000 has 224 divisors, whose sum is σ = 59669940096. Its totient is φ = 7179264000.

The previous prime is 21011031997. The next prime is 21011032027. The reversal of 21011032000 is 23011012.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25591590 + ... + 25592410.

Almost surely, 2^21011032000 is an apocalyptic number.

21011032000 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 21011032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29834970048).

21011032000 is an abundant number, since it is smaller than the sum of its proper divisors (38658908096).

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

21011032000 is an equidigital number, since it uses as much as digits as its factorization.

21011032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21011032000 its reverse (23011012), we get a palindrome (21034043012).

The spelling of 21011032000 in words is "twenty-one billion, eleven million, thirty-two thousand".