25438533120 has 960 divisors, whose sum is σ = 118396422144. Its totient is φ = 4874895360.

The previous prime is 25438533091. The next prime is 25438533121. The reversal of 25438533120 is 2133583452.

25438533120 is a `hidden beast` number, since 2 + 543 + 85 + 3 + 31 + 2 + 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25438533121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062489 + ... + 23063591.

Almost surely, 2^25438533120 is an apocalyptic number.

25438533120 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 25438533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59198211072).

25438533120 is an abundant number, since it is smaller than the sum of its proper divisors (92957889024).

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

25438533120 is a wasteful number, since it uses less digits than its factorization.

25438533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 25438533120 in words is "twenty-five billion, four hundred thirty-eight million, five hundred thirty-three thousand, one hundred twenty".