20057434800 has 240 divisors, whose sum is σ = 69616377600. Its totient is φ = 4907013120.

The previous prime is 20057434783. The next prime is 20057434801. The reversal of 20057434800 is 843475002.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (20057434801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2601351 + ... + 2609049.

It is an arithmetic number, because the mean of its divisors is an integer number (290068240).

Almost surely, 2^20057434800 is an apocalyptic number.

20057434800 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 20057434800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34808188800).

20057434800 is an abundant number, since it is smaller than the sum of its proper divisors (49558942800).

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

20057434800 is a wasteful number, since it uses less digits than its factorization.

20057434800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7900 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The spelling of 20057434800 in words is "twenty billion, fifty-seven million, four hundred thirty-four thousand, eight hundred".