25168078716456 has 256 divisors, whose sum is σ = 69839278709760. Its totient is φ = 7507958169600.

The previous prime is 25168078716433. The next prime is 25168078716467. The reversal of 25168078716456 is 65461787086152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4003190545 + ... + 4003196831.

It is an arithmetic number, because the mean of its divisors is an integer number (272809682460).

Almost surely, 2^{25168078716456} is an apocalyptic number.

25168078716456 is a gapful number since it is divisible by the number (26) 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 25168078716456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34919639354880).

25168078716456 is an abundant number, since it is smaller than the sum of its proper divisors (44671199993304).

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

25168078716456 is a wasteful number, since it uses less digits than its factorization.

25168078716456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7524 (or 7520 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 66.

The spelling of 25168078716456 in words is "twenty-five trillion, one hundred sixty-eight billion, seventy-eight million, seven hundred sixteen thousand, four hundred fifty-six".