26205398428000 has 384 divisors, whose sum is σ = 70693748116992. Its totient is φ = 9467884800000.

The previous prime is 26205398427977. The next prime is 26205398428003. The reversal of 26205398428000 is 82489350262.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26205398428003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4471145070 + ... + 4471150930.

It is an arithmetic number, because the mean of its divisors is an integer number (184098302388).

Almost surely, 2^{26205398428000} is an apocalyptic number.

26205398428000 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 26205398428000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35346874058496).

26205398428000 is an abundant number, since it is smaller than the sum of its proper divisors (44488349688992).

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

26205398428000 is a wasteful number, since it uses less digits than its factorization.

26205398428000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6535 (or 6517 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 26205398428000 in words is "twenty-six trillion, two hundred five billion, three hundred ninety-eight million, four hundred twenty-eight thousand".