26353201160 has 256 divisors, whose sum is σ = 71980876800. Its totient is φ = 8554291200.

The previous prime is 26353201157. The next prime is 26353201213. The reversal of 26353201160 is 6110235362.

It is a super-2 number, since 2×26353201160² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50581700 + ... + 50582220.

It is an arithmetic number, because the mean of its divisors is an integer number (281175300).

Almost surely, 2^26353201160 is an apocalyptic number.

26353201160 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 26353201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35990438400).

26353201160 is an abundant number, since it is smaller than the sum of its proper divisors (45627675640).

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

26353201160 is a wasteful number, since it uses less digits than its factorization.

26353201160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 26353201160 in words is "twenty-six billion, three hundred fifty-three million, two hundred one thousand, one hundred sixty".