26453417769792 has 448 divisors, whose sum is σ = 87448190457600. Its totient is φ = 7785372672000.

The previous prime is 26453417769733. The next prime is 26453417769797. The reversal of 26453417769792 is 29796771435462.

26453417769792 is a `hidden beast` number, since 2 + 6 + 4 + 53 + 417 + 76 + 9 + 7 + 92 = 666.

It is a super-2 number, since 2×26453417769792² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26453417769792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26453417769797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69516042 + ... + 69895542.

It is an arithmetic number, because the mean of its divisors is an integer number (195196853700).

Almost surely, 2^{26453417769792} 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 26453417769792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43724095228800).

26453417769792 is an abundant number, since it is smaller than the sum of its proper divisors (60994772687808).

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

26453417769792 is a wasteful number, since it uses less digits than its factorization.

26453417769792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379671 (or 379655 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 26453417769792 in words is "twenty-six trillion, four hundred fifty-three billion, four hundred seventeen million, seven hundred sixty-nine thousand, seven hundred ninety-two".