20481832800 has 1152 divisors, whose sum is σ = 91869120000. Its totient is φ = 4329676800.

The previous prime is 20481832793. The next prime is 20481832801. The reversal of 20481832800 is 823818402.

It is a happy number.

20481832800 is a `hidden beast` number, since 20 + 481 + 83 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20481832801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58687026 + ... + 58687374.

It is an arithmetic number, because the mean of its divisors is an integer number (79747500).

Almost surely, 2^20481832800 is an apocalyptic number.

20481832800 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 20481832800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45934560000).

20481832800 is an abundant number, since it is smaller than the sum of its proper divisors (71387287200).

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

20481832800 is a wasteful number, since it uses less digits than its factorization.

20481832800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 20481832800 in words is "twenty billion, four hundred eighty-one million, eight hundred thirty-two thousand, eight hundred".