25787947817268 has 432 divisors, whose sum is σ = 85886705189376. Its totient is φ = 6457628136960.

The previous prime is 25787947817267. The next prime is 25787947817309. The reversal of 25787947817268 is 86271874978752.

25787947817268 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 79 + 478 + 1 + 72 + 6 + 8 = 666.

It is a super-2 number, since 2×25787947817268² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25787947817267) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37335055 + ... + 38019497.

It is an arithmetic number, because the mean of its divisors is an integer number (198811817568).

Almost surely, 2^{25787947817268} is an apocalyptic number.

25787947817268 is a gapful number since it is divisible by the number (28) 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 25787947817268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42943352594688).

25787947817268 is an abundant number, since it is smaller than the sum of its proper divisors (60098757372108).

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

25787947817268 is a wasteful number, since it uses less digits than its factorization.

25787947817268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684564 (or 684552 counting only the distinct ones).

The product of its digits is 5310627840, while the sum is 81.

The spelling of 25787947817268 in words is "twenty-five trillion, seven hundred eighty-seven billion, nine hundred forty-seven million, eight hundred seventeen thousand, two hundred sixty-eight".