20451463200 has 1296 divisors, whose sum is σ = 92387524320. Its totient is φ = 4389396480.

The previous prime is 20451463187. The next prime is 20451463223. The reversal of 20451463200 is 236415402.

20451463200 is a `hidden beast` number, since 2 + 0 + 451 + 4 + 6 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 180986344 + ... + 180986456.

It is an arithmetic number, because the mean of its divisors is an integer number (71286670).

Almost surely, 2^20451463200 is an apocalyptic number.

20451463200 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 20451463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46193762160).

20451463200 is an abundant number, since it is smaller than the sum of its proper divisors (71936061120).

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

20451463200 is a wasteful number, since it uses less digits than its factorization.

20451463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20451463200 its reverse (236415402), we get a palindrome (20687878602).

The spelling of 20451463200 in words is "twenty billion, four hundred fifty-one million, four hundred sixty-three thousand, two hundred".