25335132416 has 144 divisors (see below), whose sum is σ = 57925324800. Its totient is φ = 10953369600.

The previous prime is 25335132413. The next prime is 25335132439. The reversal of 25335132416 is 61423153352.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25335132413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5148005 + ... + 5152923.

It is an arithmetic number, because the mean of its divisors is an integer number (402259200).

Almost surely, 2^25335132416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25335132416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28962662400).

25335132416 is an abundant number, since it is smaller than the sum of its proper divisors (32590192384).

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

25335132416 is a wasteful number, since it uses less digits than its factorization.

25335132416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5022 counting only the distinct ones).

The product of its digits is 64800, while the sum is 35.

Adding to 25335132416 its reverse (61423153352), we get a palindrome (86758285768).

It can be divided in two parts, 25335 and 132416, that added together give a palindrome (157751).

The spelling of 25335132416 in words is "twenty-five billion, three hundred thirty-five million, one hundred thirty-two thousand, four hundred sixteen".