26949835175340 has 288 divisors, whose sum is σ = 95152621132800. Its totient is φ = 5578670338560.

The previous prime is 26949835175339. The next prime is 26949835175353. The reversal of 26949835175340 is 4357153894962.

It is a Harshad number since it is a multiple of its sum of digits (66).

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 95 ways as a sum of consecutive naturals, for example, 12357486 + ... + 14373834.

It is an arithmetic number, because the mean of its divisors is an integer number (330391045600).

It is a 1-persistent number, because it is pandigital, but 2⋅26949835175340 = 53899670350680 is not.

Almost surely, 2^{26949835175340} is an apocalyptic number.

26949835175340 is a gapful number since it is divisible by the number (20) 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 26949835175340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576310566400).

26949835175340 is an abundant number, since it is smaller than the sum of its proper divisors (68202785957460).

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

26949835175340 is a wasteful number, since it uses less digits than its factorization.

26949835175340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016653 (or 2016640 counting only the distinct ones).

The product of its (nonzero) digits is 195955200, while the sum is 66.

The spelling of 26949835175340 in words is "twenty-six trillion, nine hundred forty-nine billion, eight hundred thirty-five million, one hundred seventy-five thousand, three hundred forty".