25106200240 has 160 divisors (see below), whose sum is σ = 67698167040. Its totient is φ = 8562816000.

The previous prime is 25106200201. The next prime is 25106200313. The reversal of 25106200240 is 4200260152.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1681287 + ... + 1696153.

It is an arithmetic number, because the mean of its divisors is an integer number (423113544).

Almost surely, 2^25106200240 is an apocalyptic number.

25106200240 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 25106200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33849083520).

25106200240 is an abundant number, since it is smaller than the sum of its proper divisors (42591966800).

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

25106200240 is a wasteful number, since it uses less digits than its factorization.

25106200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011 (or 15005 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 25106200240 its reverse (4200260152), we get a palindrome (29306460392).

The spelling of 25106200240 in words is "twenty-five billion, one hundred six million, two hundred thousand, two hundred forty".