20355222400 has 192 divisors, whose sum is σ = 51541991280. Its totient is φ = 7940341760.

The previous prime is 20355222359. The next prime is 20355222413. The reversal of 20355222400 is 422255302.

It is a happy number.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 43586967 + ... + 43587433.

Almost surely, 2^20355222400 is an apocalyptic number.

20355222400 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 20355222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25770995640).

20355222400 is an abundant number, since it is smaller than the sum of its proper divisors (31186768880).

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

20355222400 is a wasteful number, since it uses less digits than its factorization.

20355222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

Adding to 20355222400 its reverse (422255302), we get a palindrome (20777477702).

The spelling of 20355222400 in words is "twenty billion, three hundred fifty-five million, two hundred twenty-two thousand, four hundred".