25616448000 has 960 divisors, whose sum is σ = 108744539904. Its totient is φ = 5713920000.

The previous prime is 25616447993. The next prime is 25616448017. The reversal of 25616448000 is 84461652.

25616448000 is a `hidden beast` number, since 2 + 5 + 6 + 1 + 644 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82367845 + ... + 82368155.

Almost surely, 2^25616448000 is an apocalyptic number.

25616448000 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 25616448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54372269952).

25616448000 is an abundant number, since it is smaller than the sum of its proper divisors (83128091904).

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

25616448000 is a wasteful number, since it uses less digits than its factorization.

25616448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25616448000 in words is "twenty-five billion, six hundred sixteen million, four hundred forty-eight thousand".