25535632608 has 144 divisors (see below), whose sum is σ = 77017633056. Its totient is φ = 8008197120.

The previous prime is 25535632601. The next prime is 25535632627. The reversal of 25535632608 is 80623653552.

25535632608 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 5 + 6 + 32 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25535632601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 372466 + ... + 435662.

It is an arithmetic number, because the mean of its divisors is an integer number (534844674).

Almost surely, 2^25535632608 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 25535632608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38508816528).

25535632608 is an abundant number, since it is smaller than the sum of its proper divisors (51482000448).

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

25535632608 is a wasteful number, since it uses less digits than its factorization.

25535632608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63297 (or 63286 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 25535632608 in words is "twenty-five billion, five hundred thirty-five million, six hundred thirty-two thousand, six hundred eight".