26727319080 has 768 divisors, whose sum is σ = 117423820800. Its totient is φ = 5101608960.

The previous prime is 26727319051. The next prime is 26727319081. The reversal of 26727319080 is 8091372762.

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

It is not an unprimeable number, because it can be changed into a prime (26727319081) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 20262661 + ... + 20263979.

It is an arithmetic number, because the mean of its divisors is an integer number (152895600).

Almost surely, 2^26727319080 is an apocalyptic number.

26727319080 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 26727319080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58711910400).

26727319080 is an abundant number, since it is smaller than the sum of its proper divisors (90696501720).

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

26727319080 is a wasteful number, since it uses less digits than its factorization.

26727319080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 26727319080 in words is "twenty-six billion, seven hundred twenty-seven million, three hundred nineteen thousand, eighty".