25127618560 has 384 divisors, whose sum is σ = 70761600000. Its totient is φ = 8466923520.

The previous prime is 25127618557. The next prime is 25127618567. The reversal of 25127618560 is 6581672152.

It is not an unprimeable number, because it can be changed into a prime (25127618567) 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 31 ways as a sum of consecutive naturals, for example, 126269341 + ... + 126269539.

It is an arithmetic number, because the mean of its divisors is an integer number (184275000).

Almost surely, 2^25127618560 is an apocalyptic number.

25127618560 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 25127618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35380800000).

25127618560 is an abundant number, since it is smaller than the sum of its proper divisors (45633981440).

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

25127618560 is a wasteful number, since it uses less digits than its factorization.

25127618560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 43.

The spelling of 25127618560 in words is "twenty-five billion, one hundred twenty-seven million, six hundred eighteen thousand, five hundred sixty".