26557166160 has 240 divisors, whose sum is σ = 104415816960. Its totient is φ = 5922109440.

The previous prime is 26557166159. The next prime is 26557166197. The reversal of 26557166160 is 6166175562.

26557166160 is a `hidden beast` number, since 2 + 6 + 5 + 571 + 66 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 142381 + ... + 270899.

It is an arithmetic number, because the mean of its divisors is an integer number (435065904).

Almost surely, 2^26557166160 is an apocalyptic number.

26557166160 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 26557166160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52207908480).

26557166160 is an abundant number, since it is smaller than the sum of its proper divisors (77858650800).

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

26557166160 is a wasteful number, since it uses less digits than its factorization.

26557166160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128586 (or 128577 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 26557166160 in words is "twenty-six billion, five hundred fifty-seven million, one hundred sixty-six thousand, one hundred sixty".