26120828160 has 1152 divisors, whose sum is σ = 113276190720. Its totient is φ = 5643509760.

The previous prime is 26120828141. The next prime is 26120828207. The reversal of 26120828160 is 6182802162.

26120828160 is a `hidden beast` number, since 2 + 612 + 0 + 8 + 28 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 607461099 + ... + 607461141.

Almost surely, 2^26120828160 is an apocalyptic number.

26120828160 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 26120828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56638095360).

26120828160 is an abundant number, since it is smaller than the sum of its proper divisors (87155362560).

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

26120828160 is an frugal number, since it uses more digits than its factorization.

26120828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 26120828160 in words is "twenty-six billion, one hundred twenty million, eight hundred twenty-eight thousand, one hundred sixty".