25401205200 has 480 divisors, whose sum is σ = 95750657280. Its totient is φ = 5636505600.

The previous prime is 25401205199. The next prime is 25401205201. The reversal of 25401205200 is 250210452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (25401205199) and next prime (25401205201).

It is a super-2 number, since 2×25401205200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25401205201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45603322 + ... + 45603878.

It is an arithmetic number, because the mean of its divisors is an integer number (199480536).

Almost surely, 2^25401205200 is an apocalyptic number.

25401205200 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 25401205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47875328640).

25401205200 is an abundant number, since it is smaller than the sum of its proper divisors (70349452080).

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

25401205200 is a wasteful number, since it uses less digits than its factorization.

25401205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 25401205200 its reverse (250210452), we get a palindrome (25651415652).

The spelling of 25401205200 in words is "twenty-five billion, four hundred one million, two hundred five thousand, two hundred".