26853741548190 has 192 divisors, whose sum is σ = 70934846299200. Its totient is φ = 7047565056000.

The previous prime is 26853741548167. The next prime is 26853741548197. The reversal of 26853741548190 is 9184514735862.

It is a happy number.

26853741548190 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 3 + 74 + 1 + 548 + 19 + 0 = 666.

It is a super-2 number, since 2×26853741548190² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26853741548197) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1590005266 + ... + 1590022154.

It is an arithmetic number, because the mean of its divisors is an integer number (369452324475).

It is a 1-persistent number, because it is pandigital, but 2⋅26853741548190 = 53707483096380 is not.

Almost surely, 2^{26853741548190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26853741548190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35467423149600).

26853741548190 is an abundant number, since it is smaller than the sum of its proper divisors (44081104751010).

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

26853741548190 is a wasteful number, since it uses less digits than its factorization.

26853741548190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18043 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 26853741548190 in words is "twenty-six trillion, eight hundred fifty-three billion, seven hundred forty-one million, five hundred forty-eight thousand, one hundred ninety".