20200010400 has 216 divisors, whose sum is σ = 71794404864. Its totient is φ = 5344012800.

The previous prime is 20200010381. The next prime is 20200010437. The reversal of 20200010400 is 401000202.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 903355 + ... + 925445.

It is an arithmetic number, because the mean of its divisors is an integer number (332381504).

Almost surely, 2^20200010400 is an apocalyptic number.

20200010400 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 20200010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35897202432).

20200010400 is an abundant number, since it is smaller than the sum of its proper divisors (51594394464).

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

20200010400 is a wasteful number, since it uses less digits than its factorization.

20200010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22244 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 20200010400 its reverse (401000202), we get a palindrome (20601010602).

The spelling of 20200010400 in words is "twenty billion, two hundred million, ten thousand, four hundred".