26289480600 has 144 divisors (see below), whose sum is σ = 88490820600. Its totient is φ = 6994490880.

The previous prime is 26289480599. The next prime is 26289480641. The reversal of 26289480600 is 608498262.

It is a super-2 number, since 2×26289480600² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 780916 + ... + 813884.

Almost surely, 2^26289480600 is an apocalyptic number.

26289480600 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 26289480600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44245410300).

26289480600 is an abundant number, since it is smaller than the sum of its proper divisors (62201340000).

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

26289480600 is a wasteful number, since it uses less digits than its factorization.

26289480600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33434 (or 33422 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 26289480600 in words is "twenty-six billion, two hundred eighty-nine million, four hundred eighty thousand, six hundred".