21427701120 has 480 divisors, whose sum is σ = 87815304720. Its totient is φ = 4897760256.

The previous prime is 21427701103. The next prime is 21427701121. The reversal of 21427701120 is 2110772412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21427701121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3061100157 + ... + 3061100163.

Almost surely, 2^21427701120 is an apocalyptic number.

21427701120 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 21427701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43907652360).

21427701120 is an abundant number, since it is smaller than the sum of its proper divisors (66387603600).

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

21427701120 is an frugal number, since it uses more digits than its factorization.

21427701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 17 counting only the distinct ones).

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

The spelling of 21427701120 in words is "twenty-one billion, four hundred twenty-seven million, seven hundred one thousand, one hundred twenty".