20466432000 has 1152 divisors, whose sum is σ = 89291704320. Its totient is φ = 4578508800.

The previous prime is 20466431917. The next prime is 20466432013. The reversal of 20466432000 is 23466402.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 435455977 + ... + 435456023.

It is an arithmetic number, because the mean of its divisors is an integer number (77510160).

Almost surely, 2^20466432000 is an apocalyptic number.

20466432000 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 20466432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44645852160).

20466432000 is an abundant number, since it is smaller than the sum of its proper divisors (68825272320).

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

20466432000 is an frugal number, since it uses more digits than its factorization.

20466432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 20466432000 its reverse (23466402), we get a palindrome (20489898402).

The spelling of 20466432000 in words is "twenty billion, four hundred sixty-six million, four hundred thirty-two thousand".