25935541632 has 1536 divisors, whose sum is σ = 112275072000. Its totient is φ = 5852528640.

The previous prime is 25935541613. The next prime is 25935541637. The reversal of 25935541632 is 23614553952.

25935541632 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 5 + 5 + 4 + 1 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25935541637) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1525620088 + ... + 1525620104.

It is an arithmetic number, because the mean of its divisors is an integer number (73095750).

Almost surely, 2^25935541632 is an apocalyptic number.

25935541632 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 25935541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536000).

25935541632 is an abundant number, since it is smaller than the sum of its proper divisors (86339530368).

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

25935541632 is a wasteful number, since it uses less digits than its factorization.

25935541632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 53 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The spelling of 25935541632 in words is "twenty-five billion, nine hundred thirty-five million, five hundred forty-one thousand, six hundred thirty-two".