21772800000 has 936 divisors, whose sum is σ = 93166661952. Its totient is φ = 4976640000.

The previous prime is 21772799989. The next prime is 21772800001. The reversal of 21772800000 is 827712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21772800001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3110399997 + ... + 3110400003.

It is an arithmetic number, because the mean of its divisors is an integer number (99537032).

Almost surely, 2^21772800000 is an apocalyptic number.

21772800000 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 21772800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46583330976).

21772800000 is an abundant number, since it is smaller than the sum of its proper divisors (71393861952).

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

21772800000 is an frugal number, since it uses more digits than its factorization.

21772800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 21772800000 in words is "twenty-one billion, seven hundred seventy-two million, eight hundred thousand".