21060672000 has 320 divisors, whose sum is σ = 70474060800. Its totient is φ = 5579980800.

The previous prime is 21060671977. The next prime is 21060672011. The reversal of 21060672000 is 27606012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43967761 + ... + 43968239.

It is an arithmetic number, because the mean of its divisors is an integer number (220231440).

Almost surely, 2^21060672000 is an apocalyptic number.

21060672000 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 21060672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35237030400).

21060672000 is an abundant number, since it is smaller than the sum of its proper divisors (49413388800).

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

21060672000 is an equidigital number, since it uses as much as digits as its factorization.

21060672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 21060672000 in words is "twenty-one billion, sixty million, six hundred seventy-two thousand".