20000001600 has 210 divisors, whose sum is σ = 73515451394. Its totient is φ = 5333299200.

The previous prime is 20000001569. The next prime is 20000001607. The reversal of 20000001600 is 610000002.

It can be written as a sum of positive squares in 3 ways, for example, as 3779136 + 19996222464 = 1944^2 + 141408^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (20000001607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 52440 + ... + 206760.

Almost surely, 2^20000001600 is an apocalyptic number.

20000001600 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 20000001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36757725697).

20000001600 is an abundant number, since it is smaller than the sum of its proper divisors (53515449794).

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

20000001600 is a wasteful number, since it uses less digits than its factorization.

20000001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154355 (or 154331 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 20000001600 its reverse (610000002), we get a palindrome (20610001602).

The spelling of 20000001600 in words is "twenty billion, one thousand, six hundred".