25632448900 has 36 divisors (see below), whose sum is σ = 58040785152. Its totient is φ = 9807196960.

The previous prime is 25632448889. The next prime is 25632448927. The reversal of 25632448900 is 984423652.

It is a super-2 number, since 2×25632448900² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5569972 + ... + 5574571.

It is an arithmetic number, because the mean of its divisors is an integer number (1612244032).

Almost surely, 2^25632448900 is an apocalyptic number.

25632448900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25632448900 is an abundant number, since it is smaller than the sum of its proper divisors (32408336252).

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

25632448900 is a wasteful number, since it uses less digits than its factorization.

25632448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11144580 (or 11144573 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 25632448900 in words is "twenty-five billion, six hundred thirty-two million, four hundred forty-eight thousand, nine hundred".