20427264000 has 1248 divisors, whose sum is σ = 89302606848. Its totient is φ = 4423680000.

The previous prime is 20427263981. The next prime is 20427264001. The reversal of 20427264000 is 46272402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×20427264000² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20427264001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 658943985 + ... + 658944015.

It is an arithmetic number, because the mean of its divisors is an integer number (71556576).

Almost surely, 2^20427264000 is an apocalyptic number.

20427264000 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 20427264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44651303424).

20427264000 is an abundant number, since it is smaller than the sum of its proper divisors (68875342848).

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

20427264000 is a wasteful number, since it uses less digits than its factorization.

20427264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 20427264000 in words is "twenty billion, four hundred twenty-seven million, two hundred sixty-four thousand".