26728148160 has 336 divisors, whose sum is σ = 110598508800. Its totient is φ = 5787666432.

The previous prime is 26728148129. The next prime is 26728148233. The reversal of 26728148160 is 6184182762.

26728148160 is a `hidden beast` number, since 26 + 72 + 81 + 481 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×26728148160² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 348151 + ... + 417929.

Almost surely, 2^26728148160 is an apocalyptic number.

26728148160 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 26728148160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55299254400).

26728148160 is an abundant number, since it is smaller than the sum of its proper divisors (83870360640).

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

26728148160 is a wasteful number, since it uses less digits than its factorization.

26728148160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69828 (or 69815 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 26728148160 in words is "twenty-six billion, seven hundred twenty-eight million, one hundred forty-eight thousand, one hundred sixty".