25556428800 has 1152 divisors, whose sum is σ = 113742720000. Its totient is φ = 5494210560.

The previous prime is 25556428787. The next prime is 25556428801. The reversal of 25556428800 is 882465552.

It is a happy number.

25556428800 is a `hidden beast` number, since 2 + 5 + 5 + 564 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (25556428801) 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, 183859131 + ... + 183859269.

It is an arithmetic number, because the mean of its divisors is an integer number (98735000).

Almost surely, 2^25556428800 is an apocalyptic number.

25556428800 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 25556428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360000).

25556428800 is an abundant number, since it is smaller than the sum of its proper divisors (88186291200).

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

25556428800 is a wasteful number, since it uses less digits than its factorization.

25556428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 175 counting only the distinct ones).

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

The spelling of 25556428800 in words is "twenty-five billion, five hundred fifty-six million, four hundred twenty-eight thousand, eight hundred".