25425273600 has 216 divisors, whose sum is σ = 93232522320. Its totient is φ = 6780026880.

The previous prime is 25425273581. The next prime is 25425273607. The reversal of 25425273600 is 637252452.

25425273600 is a `hidden beast` number, since 2 + 5 + 4 + 25 + 27 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (25425273607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99232 + ... + 246368.

Almost surely, 2^25425273600 is an apocalyptic number.

25425273600 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 25425273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46616261160).

25425273600 is an abundant number, since it is smaller than the sum of its proper divisors (67807248720).

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

25425273600 is a wasteful number, since it uses less digits than its factorization.

25425273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147172 (or 147147 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 25425273600 in words is "twenty-five billion, four hundred twenty-five million, two hundred seventy-three thousand, six hundred".