21772227738240 has 3840 divisors, whose sum is σ = 100625980815360. Its totient is φ = 4385813299200.

The previous prime is 21772227738221. The next prime is 21772227738241. The reversal of 21772227738240 is 4283772227712.

21772227738240 is a `hidden beast` number, since 2 + 177 + 2 + 22 + 77 + 382 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21772227738241) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 120288550950 + ... + 120288551130.

It is an arithmetic number, because the mean of its divisors is an integer number (26204682504).

Almost surely, 2^{21772227738240} is an apocalyptic number.

21772227738240 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 21772227738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50312990407680).

21772227738240 is an abundant number, since it is smaller than the sum of its proper divisors (78853753077120).

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

21772227738240 is a wasteful number, since it uses less digits than its factorization.

21772227738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 21772227738240 in words is "twenty-one trillion, seven hundred seventy-two billion, two hundred twenty-seven million, seven hundred thirty-eight thousand, two hundred forty".