20005556480 has 288 divisors, whose sum is σ = 62453389824. Its totient is φ = 5958402048.

The previous prime is 20005556447. The next prime is 20005556489. The reversal of 20005556480 is 8465550002.

It is a Cunningham number, because it is equal to 141441²-1.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 20005556480.

It is not an unprimeable number, because it can be changed into a prime (20005556489) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1975109 + ... + 1985211.

It is an arithmetic number, because the mean of its divisors is an integer number (216852048).

Almost surely, 2^20005556480 is an apocalyptic number.

20005556480 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 20005556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31226694912).

20005556480 is an abundant number, since it is smaller than the sum of its proper divisors (42447833344).

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

20005556480 is a wasteful number, since it uses less digits than its factorization.

20005556480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 20005556480 in words is "twenty billion, five million, five hundred fifty-six thousand, four hundred eighty".