20253102400 has 84 divisors (see below), whose sum is σ = 49869112860. Its totient is φ = 8095744000.

The previous prime is 20253102391. The next prime is 20253102409. The reversal of 20253102400 is 420135202.

It is an interprime number because it is at equal distance from previous prime (20253102391) and next prime (20253102409).

It can be written as a sum of positive squares in 6 ways, for example, as 800663616 + 19452438784 = 28296^2 + 139472^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20253102409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3019050 + ... + 3025750.

It is an arithmetic number, because the mean of its divisors is an integer number (593679915).

Almost surely, 2^20253102400 is an apocalyptic number.

20253102400 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 20253102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24934556430).

20253102400 is an abundant number, since it is smaller than the sum of its proper divisors (29616010460).

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

20253102400 is a wasteful number, since it uses less digits than its factorization.

20253102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8612 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 20253102400 its reverse (420135202), we get a palindrome (20673237602).

The spelling of 20253102400 in words is "twenty billion, two hundred fifty-three million, one hundred two thousand, four hundred".