20464300032000 has 1024 divisors, whose sum is σ = 75081090240000. Its totient is φ = 4908646400000.

The previous prime is 20464300031983. The next prime is 20464300032017. The reversal of 20464300032000 is 23000346402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20464300031983) and next prime (20464300032017).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13651967251 + ... + 13651968749.

Almost surely, 2^{20464300032000} is an apocalyptic number.

20464300032000 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 20464300032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37540545120000).

20464300032000 is an abundant number, since it is smaller than the sum of its proper divisors (54616790208000).

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

20464300032000 is a wasteful number, since it uses less digits than its factorization.

20464300032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1659 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20464300032000 its reverse (23000346402), we get a palindrome (20487300378402).

The spelling of 20464300032000 in words is "twenty trillion, four hundred sixty-four billion, three hundred million, thirty-two thousand".