21742276608000 has 1920 divisors, whose sum is σ = 88549701360120. Its totient is φ = 5276565504000.

The previous prime is 21742276607963. The next prime is 21742276608007. The reversal of 21742276608000 is 80667224712.

It is a happy number.

21742276608000 is a `hidden beast` number, since 2 + 17 + 4 + 2 + 27 + 6 + 608 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2950259687424 + 18792016920576 = 1717632^2 + 4334976^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21742276608007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 306229247965 + ... + 306229248035.

Almost surely, 2^{21742276608000} is an apocalyptic number.

21742276608000 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 21742276608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44274850680060).

21742276608000 is an abundant number, since it is smaller than the sum of its proper divisors (66807424752120).

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

21742276608000 is an frugal number, since it uses more digits than its factorization.

21742276608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 21742276608000 in words is "twenty-one trillion, seven hundred forty-two billion, two hundred seventy-six million, six hundred eight thousand".