20480804400 has 480 divisors, whose sum is σ = 81037670400. Its totient is φ = 4404449280.

The previous prime is 20480804389. The next prime is 20480804423. The reversal of 20480804400 is 440808402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 6995737 + ... + 6998663.

It is an arithmetic number, because the mean of its divisors is an integer number (168828480).

Almost surely, 2^20480804400 is an apocalyptic number.

20480804400 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 20480804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40518835200).

20480804400 is an abundant number, since it is smaller than the sum of its proper divisors (60556866000).

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

20480804400 is a wasteful number, since it uses less digits than its factorization.

20480804400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 30.

The spelling of 20480804400 in words is "twenty billion, four hundred eighty million, eight hundred four thousand, four hundred".