25201440233200 has 720 divisors, whose sum is σ = 78640665782400. Its totient is φ = 7672067020800.

The previous prime is 25201440233183. The next prime is 25201440233251. The reversal of 25201440233200 is 233204410252.

It is a super-2 number, since 2×25201440233200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1997096491 + ... + 1997109109.

It is an arithmetic number, because the mean of its divisors is an integer number (109223146920).

Almost surely, 2^{25201440233200} is an apocalyptic number.

25201440233200 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 25201440233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39320332891200).

25201440233200 is an abundant number, since it is smaller than the sum of its proper divisors (53439225549200).

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

25201440233200 is a wasteful number, since it uses less digits than its factorization.

25201440233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12878 (or 12860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 25201440233200 its reverse (233204410252), we get a palindrome (25434644643452).

The spelling of 25201440233200 in words is "twenty-five trillion, two hundred one billion, four hundred forty million, two hundred thirty-three thousand, two hundred".