20206441600 has 96 divisors (see below), whose sum is σ = 50002508340. Its totient is φ = 8068608000.

The previous prime is 20206441589. The next prime is 20206441637. The reversal of 20206441600 is 614460202.

It can be written as a sum of positive squares in 6 ways, for example, as 5946260544 + 14260181056 = 77112^2 + 119416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1956450 + ... + 1966750.

Almost surely, 2^20206441600 is an apocalyptic number.

20206441600 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 20206441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25001254170).

20206441600 is an abundant number, since it is smaller than the sum of its proper divisors (29796066740).

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

20206441600 is a wasteful number, since it uses less digits than its factorization.

20206441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10938 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 20206441600 in words is "twenty billion, two hundred six million, four hundred forty-one thousand, six hundred".