20001938880 has 672 divisors, whose sum is σ = 84527428608. Its totient is φ = 3909058560.

The previous prime is 20001938851. The next prime is 20001938921. The reversal of 20001938880 is 8883910002.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13822317 + ... + 13823763.

It is an arithmetic number, because the mean of its divisors is an integer number (125784864).

Almost surely, 2^20001938880 is an apocalyptic number.

20001938880 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 20001938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42263714304).

20001938880 is an abundant number, since it is smaller than the sum of its proper divisors (64525489728).

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

20001938880 is a wasteful number, since it uses less digits than its factorization.

20001938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 20001938880 in words is "twenty billion, one million, nine hundred thirty-eight thousand, eight hundred eighty".