26138828200000 has 168 divisors, whose sum is σ = 68244638313600. Its totient is φ = 9905238720000.

The previous prime is 26138828199949. The next prime is 26138828200003. The reversal of 26138828200000 is 282883162.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26138828200003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360681 + ... + 7239319.

It is an arithmetic number, because the mean of its divisors is an integer number (406218085200).

Almost surely, 2^{26138828200000} is an apocalyptic number.

26138828200000 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 26138828200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34122319156800).

26138828200000 is an abundant number, since it is smaller than the sum of its proper divisors (42105810113600).

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

26138828200000 is an frugal number, since it uses more digits than its factorization.

26138828200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6878695 (or 6878665 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 26138828200000 in words is "twenty-six trillion, one hundred thirty-eight billion, eight hundred twenty-eight million, two hundred thousand".