25172617120 has 288 divisors, whose sum is σ = 72950446800. Its totient is φ = 8171864064.

The previous prime is 25172617081. The next prime is 25172617121. The reversal of 25172617120 is 2171627152.

It can be written as a sum of positive squares in 8 ways, for example, as 19109191696 + 6063425424 = 138236^2 + 77868^2 .

It is not an unprimeable number, because it can be changed into a prime (25172617121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12049036 + ... + 12051124.

Almost surely, 2^25172617120 is an apocalyptic number.

25172617120 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 25172617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36475223400).

25172617120 is an abundant number, since it is smaller than the sum of its proper divisors (47777829680).

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

25172617120 is a wasteful number, since it uses less digits than its factorization.

25172617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 25172617120 in words is "twenty-five billion, one hundred seventy-two million, six hundred seventeen thousand, one hundred twenty".