25967956277760 has 640 divisors, whose sum is σ = 98484553728000. Its totient is φ = 5711908700160.

The previous prime is 25967956277743. The next prime is 25967956277821. The reversal of 25967956277760 is 6777265976952.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 298270716 + ... + 298357764.

It is an arithmetic number, because the mean of its divisors is an integer number (153882115200).

Almost surely, 2^{25967956277760} is an apocalyptic number.

25967956277760 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 25967956277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49242276864000).

25967956277760 is an abundant number, since it is smaller than the sum of its proper divisors (72516597450240).

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

25967956277760 is a wasteful number, since it uses less digits than its factorization.

25967956277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87292 (or 87276 counting only the distinct ones).

The product of its (nonzero) digits is 4200789600, while the sum is 78.

The spelling of 25967956277760 in words is "twenty-five trillion, nine hundred sixty-seven billion, nine hundred fifty-six million, two hundred seventy-seven thousand, seven hundred sixty".