26251606416672 has 2304 divisors, whose sum is σ = 101116088156160. Its totient is φ = 6562147737600.

The previous prime is 26251606416641. The next prime is 26251606416677. The reversal of 26251606416672 is 27661460615262.

26251606416672 is a `hidden beast` number, since 2 + 6 + 2 + 5 + 160 + 6 + 416 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26251606416677) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 200393942047 + ... + 200393942177.

It is an arithmetic number, because the mean of its divisors is an integer number (43887191040).

Almost surely, 2^{26251606416672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26251606416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50558044078080).

26251606416672 is an abundant number, since it is smaller than the sum of its proper divisors (74864481739488).

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

26251606416672 is a wasteful number, since it uses less digits than its factorization.

26251606416672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26251606416672 in words is "twenty-six trillion, two hundred fifty-one billion, six hundred six million, four hundred sixteen thousand, six hundred seventy-two".