25961644800 has 1296 divisors, whose sum is σ = 118739066880. Its totient is φ = 5434490880.

The previous prime is 25961644781. The next prime is 25961644801. The reversal of 25961644800 is 844616952.

25961644800 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 164 + 480 + 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 (25961644801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204422337 + ... + 204422463.

Almost surely, 2^25961644800 is an apocalyptic number.

25961644800 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 25961644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59369533440).

25961644800 is an abundant number, since it is smaller than the sum of its proper divisors (92777422080).

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

25961644800 is a wasteful number, since it uses less digits than its factorization.

25961644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

It can be divided in two parts, 25961 and 644800, that added together give a square (670761 = 819²).

The spelling of 25961644800 in words is "twenty-five billion, nine hundred sixty-one million, six hundred forty-four thousand, eight hundred".