26098560000000 has 1344 divisors, whose sum is σ = 98835314168448. Its totient is φ = 6623232000000.

The previous prime is 26098559999927. The next prime is 26098560000061. The reversal of 26098560000000 is 6589062.

26098560000000 is a `hidden beast` number, since 2 + 6 + 0 + 98 + 560 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×26098560000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 26098560000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132479999902 + ... + 132480000098.

Almost surely, 2^{26098560000000} is an apocalyptic number.

26098560000000 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 26098560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49417657084224).

26098560000000 is an abundant number, since it is smaller than the sum of its proper divisors (72736754168448).

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

26098560000000 is an frugal number, since it uses more digits than its factorization.

26098560000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 26098560000000 its reverse (6589062), we get a palindrome (26098566589062).

The spelling of 26098560000000 in words is "twenty-six trillion, ninety-eight billion, five hundred sixty million", and thus it is an aban number.