26165384640792 has 192 divisors, whose sum is σ = 73791568431360. Its totient is φ = 8366793523200.

The previous prime is 26165384640781. The next prime is 26165384640793. The reversal of 26165384640792 is 29704648356162.

26165384640792 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 538 + 4 + 6 + 4 + 0 + 7 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26165384640793) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 120939978 + ... + 121156134.

It is an arithmetic number, because the mean of its divisors is an integer number (384331085580).

It is a 2-persistent number, because it is pandigital, and so is 2⋅26165384640792 = 52330769281584, but 3⋅26165384640792 = 78496153922376 is not.

Almost surely, 2^{26165384640792} 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 26165384640792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36895784215680).

26165384640792 is an abundant number, since it is smaller than the sum of its proper divisors (47626183790568).

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

26165384640792 is a wasteful number, since it uses less digits than its factorization.

26165384640792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216674 (or 216667 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 26165384640792 in words is "twenty-six trillion, one hundred sixty-five billion, three hundred eighty-four million, six hundred forty thousand, seven hundred ninety-two".