25405331120 has 160 divisors (see below), whose sum is σ = 65325318912. Its totient is φ = 9129885696.

The previous prime is 25405331113. The next prime is 25405331123. The reversal of 25405331120 is 2113350452.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 25405331120.

It is not an unprimeable number, because it can be changed into a prime (25405331123) by changing a digit.

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, 9432494 + ... + 9435186.

Almost surely, 2^25405331120 is an apocalyptic number.

25405331120 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 25405331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32662659456).

25405331120 is an abundant number, since it is smaller than the sum of its proper divisors (39919987792).

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

25405331120 is a wasteful number, since it uses less digits than its factorization.

25405331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 25405331120 its reverse (2113350452), we get a palindrome (27518681572).

The spelling of 25405331120 in words is "twenty-five billion, four hundred five million, three hundred thirty-one thousand, one hundred twenty".