26261389011000 has 2048 divisors, whose sum is σ = 107071546982400. Its totient is φ = 5260308480000.

The previous prime is 26261389010959. The next prime is 26261389011001. The reversal of 26261389011000 is 11098316262.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 26261389011000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26261389011001) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10865281792 + ... + 10865284208.

It is an arithmetic number, because the mean of its divisors is an integer number (52281028800).

Almost surely, 2^{26261389011000} is an apocalyptic number.

26261389011000 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 26261389011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53535773491200).

26261389011000 is an abundant number, since it is smaller than the sum of its proper divisors (80810157971400).

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

26261389011000 is a wasteful number, since it uses less digits than its factorization.

26261389011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2544 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 26261389011000 in words is "twenty-six trillion, two hundred sixty-one billion, three hundred eighty-nine million, eleven thousand".