25142011200 has 420 divisors, whose sum is σ = 92836349760. Its totient is φ = 6674088960.

The previous prime is 25142011199. The next prime is 25142011211. The reversal of 25142011200 is 211024152.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54302169 + ... + 54302631.

It is an arithmetic number, because the mean of its divisors is an integer number (221038928).

Almost surely, 2^25142011200 is an apocalyptic number.

25142011200 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 25142011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46418174880).

25142011200 is an abundant number, since it is smaller than the sum of its proper divisors (67694338560).

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

25142011200 is a wasteful number, since it uses less digits than its factorization.

25142011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 25142011200 its reverse (211024152), we get a palindrome (25353035352).

The spelling of 25142011200 in words is "twenty-five billion, one hundred forty-two million, eleven thousand, two hundred".