25875532800 has 792 divisors, whose sum is σ = 102279484944. Its totient is φ = 6210846720.

The previous prime is 25875532777. The next prime is 25875532807. The reversal of 25875532800 is 823557852.

25875532800 is a `hidden beast` number, since 258 + 75 + 5 + 328 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (25875532807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158745519 + ... + 158745681.

Almost surely, 2^25875532800 is an apocalyptic number.

25875532800 is a gapful number since it is divisible by the number (20) 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 25875532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51139742472).

25875532800 is an abundant number, since it is smaller than the sum of its proper divisors (76403952144).

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

25875532800 is a wasteful number, since it uses less digits than its factorization.

25875532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 25875532800 in words is "twenty-five billion, eight hundred seventy-five million, five hundred thirty-two thousand, eight hundred".