21067776000 has 600 divisors, whose sum is σ = 79169266176. Its totient is φ = 5573836800.

The previous prime is 21067775977. The next prime is 21067776001. The reversal of 21067776000 is 67776012.

It is a tau number, because it is divible by the number of its divisors (600).

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 (21067776001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 165887937 + ... + 165888063.

Almost surely, 2^21067776000 is an apocalyptic number.

21067776000 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 21067776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584633088).

21067776000 is an abundant number, since it is smaller than the sum of its proper divisors (58101490176).

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

21067776000 is an frugal number, since it uses more digits than its factorization.

21067776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The spelling of 21067776000 in words is "twenty-one billion, sixty-seven million, seven hundred seventy-six thousand".