26542468798272 has 1344 divisors, whose sum is σ = 100965958778880. Its totient is φ = 6667702272000.

The previous prime is 26542468798253. The next prime is 26542468798273. The reversal of 26542468798272 is 27289786424562.

26542468798272 is a `hidden beast` number, since 2 + 6 + 5 + 4 + 2 + 468 + 7 + 98 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1300561920) is a multiple of the sum of its prime divisors (5040).

It is a self number, because there is not a number n which added to its sum of digits gives 26542468798272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26542468798273) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5361029397 + ... + 5361034347.

Almost surely, 2^{26542468798272} 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 26542468798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50482979389440).

26542468798272 is an abundant number, since it is smaller than the sum of its proper divisors (74423489980608).

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

26542468798272 is a wasteful number, since it uses less digits than its factorization.

26542468798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5085 (or 5040 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 26542468798272 in words is "twenty-six trillion, five hundred forty-two billion, four hundred sixty-eight million, seven hundred ninety-eight thousand, two hundred seventy-two".