20253414400 has 132 divisors (see below), whose sum is σ = 51937016220. Its totient is φ = 7821721600.

The previous prime is 20253414383. The next prime is 20253414431. The reversal of 20253414400 is 441435202.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 20250428416 = 1728^2 + 142304^2 .

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 11 ways as a sum of consecutive naturals, for example, 728760 + ... + 756040.

Almost surely, 2^20253414400 is an apocalyptic number.

20253414400 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 20253414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25968508110).

20253414400 is an abundant number, since it is smaller than the sum of its proper divisors (31683601820).

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

20253414400 is a wasteful number, since it uses less digits than its factorization.

20253414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27340 (or 27317 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 20253414400 its reverse (441435202), we get a palindrome (20694849602).

The spelling of 20253414400 in words is "twenty billion, two hundred fifty-three million, four hundred fourteen thousand, four hundred".