26505105000 has 160 divisors (see below), whose sum is σ = 90329960160. Its totient is φ = 6425440000.

The previous prime is 26505104981. The next prime is 26505105101. The reversal of 26505105000 is 50150562.

It is a super-2 number, since 2×26505105000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 39 ways as a sum of consecutive naturals, for example, 84682 + ... + 245318.

It is an arithmetic number, because the mean of its divisors is an integer number (564562251).

Almost surely, 2^26505105000 is an apocalyptic number.

26505105000 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 26505105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45164980080).

26505105000 is an abundant number, since it is smaller than the sum of its proper divisors (63824855160).

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

26505105000 is a wasteful number, since it uses less digits than its factorization.

26505105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160677 (or 160658 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 26505105000 its reverse (50150562), we get a palindrome (26555255562).

The spelling of 26505105000 in words is "twenty-six billion, five hundred five million, one hundred five thousand".