25545628800 has 768 divisors, whose sum is σ = 98335670400. Its totient is φ = 6469632000.

The previous prime is 25545628789. The next prime is 25545628807. The reversal of 25545628800 is 882654552.

It is a happy number.

25545628800 is a `hidden beast` number, since 2 + 5 + 5 + 4 + 562 + 8 + 80 + 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 (25545628807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195004735 + ... + 195004865.

Almost surely, 2^25545628800 is an apocalyptic number.

25545628800 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 25545628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49167835200).

25545628800 is an abundant number, since it is smaller than the sum of its proper divisors (72790041600).

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

25545628800 is a wasteful number, since it uses less digits than its factorization.

25545628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 25545628800 in words is "twenty-five billion, five hundred forty-five million, six hundred twenty-eight thousand, eight hundred".