25314641352 has 576 divisors, whose sum is σ = 95367767040. Its totient is φ = 5898562560.

The previous prime is 25314641329. The next prime is 25314641383.

25314641352 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 4 + 641 + 3 + 5 + 2 = 666.

25314641352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29332873 + ... + 29333735.

It is an arithmetic number, because the mean of its divisors is an integer number (165569040).

Almost surely, 2^25314641352 is an apocalyptic number.

25314641352 is a gapful number since it is divisible by the number (22) 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 25314641352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47683883520).

25314641352 is an abundant number, since it is smaller than the sum of its proper divisors (70053125688).

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

25314641352 is a wasteful number, since it uses less digits than its factorization.

25314641352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 936 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

It can be divided in two parts, 25314 and 641352, that added together give a palindrome (666666).

The spelling of 25314641352 in words is "twenty-five billion, three hundred fourteen million, six hundred forty-one thousand, three hundred fifty-two".