26514489960 has 576 divisors, whose sum is σ = 106894944000. Its totient is φ = 5696280576.

The previous prime is 26514489941. The next prime is 26514490007. The reversal of 26514489960 is 6998441562.

26514489960 is a `hidden beast` number, since 2 + 6 + 51 + 448 + 99 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26514489897 and 26514489906.

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 143 ways as a sum of consecutive naturals, for example, 35685349 + ... + 35686091.

It is an arithmetic number, because the mean of its divisors is an integer number (185581500).

Almost surely, 2^26514489960 is an apocalyptic number.

26514489960 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 26514489960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53447472000).

26514489960 is an abundant number, since it is smaller than the sum of its proper divisors (80380454040).

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

26514489960 is a wasteful number, since it uses less digits than its factorization.

26514489960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 26514489960 in words is "twenty-six billion, five hundred fourteen million, four hundred eighty-nine thousand, nine hundred sixty".