25401131616 has 192 divisors, whose sum is σ = 80536619520. Its totient is φ = 6847856640.

The previous prime is 25401131593. The next prime is 25401131617. The reversal of 25401131616 is 61613110452.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25401131617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3277506 + ... + 3285246.

It is an arithmetic number, because the mean of its divisors is an integer number (419461560).

Almost surely, 2^25401131616 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 25401131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40268309760).

25401131616 is an abundant number, since it is smaller than the sum of its proper divisors (55135487904).

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

25401131616 is a wasteful number, since it uses less digits than its factorization.

25401131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8037 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 25401131616 in words is "twenty-five billion, four hundred one million, one hundred thirty-one thousand, six hundred sixteen".