20477882880 has 480 divisors, whose sum is σ = 87295912704. Its totient is φ = 4320165888.

The previous prime is 20477882861. The next prime is 20477882903. The reversal of 20477882880 is 8828877402.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2091757 + ... + 2101523.

Almost surely, 2^20477882880 is an apocalyptic number.

20477882880 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 20477882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43647956352).

20477882880 is an abundant number, since it is smaller than the sum of its proper divisors (66818029824).

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

20477882880 is a wasteful number, since it uses less digits than its factorization.

20477882880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9797 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 54.

The spelling of 20477882880 in words is "twenty billion, four hundred seventy-seven million, eight hundred eighty-two thousand, eight hundred eighty".