25877316072960 has 960 divisors, whose sum is σ = 105424292413440. Its totient is φ = 5798117376000.

The previous prime is 25877316072947. The next prime is 25877316072961. The reversal of 25877316072960 is 6927061377852.

25877316072960 is a `hidden beast` number, since 25 + 8 + 7 + 7 + 316 + 0 + 7 + 296 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25877316072961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197364225 + ... + 197495295.

It is an arithmetic number, because the mean of its divisors is an integer number (109816971264).

Almost surely, 2^{25877316072960} is an apocalyptic number.

25877316072960 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 25877316072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52712146206720).

25877316072960 is an abundant number, since it is smaller than the sum of its proper divisors (79546976340480).

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

25877316072960 is a wasteful number, since it uses less digits than its factorization.

25877316072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131171 (or 131152 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 25877316072960 in words is "twenty-five trillion, eight hundred seventy-seven billion, three hundred sixteen million, seventy-two thousand, nine hundred sixty".