26853557019264 has 192 divisors, whose sum is σ = 77925945801600. Its totient is φ = 8875939184640.

The previous prime is 26853557019251. The next prime is 26853557019307. The reversal of 26853557019264 is 46291075535862.

26853557019264 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 3 + 557 + 0 + 19 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×26853557019264² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72606969 + ... + 72975879.

It is an arithmetic number, because the mean of its divisors is an integer number (405864301050).

It is a 1-persistent number, because it is pandigital, but 2⋅26853557019264 = 53707114038528 is not.

Almost surely, 2^{26853557019264} is an apocalyptic number.

26853557019264 is a gapful number since it is divisible by the number (24) 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 26853557019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38962972900800).

26853557019264 is an abundant number, since it is smaller than the sum of its proper divisors (51072388782336).

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

26853557019264 is a wasteful number, since it uses less digits than its factorization.

26853557019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369463 (or 369448 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 26853557019264 in words is "twenty-six trillion, eight hundred fifty-three billion, five hundred fifty-seven million, nineteen thousand, two hundred sixty-four".