25201415200 has 216 divisors, whose sum is σ = 67895802828. Its totient is φ = 9126973440.

The previous prime is 25201415177. The next prime is 25201415203. The reversal of 25201415200 is 251410252.

It can be written as a sum of positive squares in 18 ways, for example, as 402724624 + 24798690576 = 20068^2 + 157476^2 .

It is a super-2 number, since 2×25201415200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25201415203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7163842 + ... + 7167358.

Almost surely, 2^25201415200 is an apocalyptic number.

25201415200 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 25201415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33947901414).

25201415200 is an abundant number, since it is smaller than the sum of its proper divisors (42694387628).

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

25201415200 is a wasteful number, since it uses less digits than its factorization.

25201415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3590 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 25201415200 its reverse (251410252), we get a palindrome (25452825452).

The spelling of 25201415200 in words is "twenty-five billion, two hundred one million, four hundred fifteen thousand, two hundred".