26114050413300 has 144 divisors (see below), whose sum is σ = 77201730772992. Its totient is φ = 6812270640000.

The previous prime is 26114050413281. The next prime is 26114050413329. The reversal of 26114050413300 is 331405041162.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28639425 + ... + 29537175.

It is an arithmetic number, because the mean of its divisors is an integer number (536123130368).

Almost surely, 2^{26114050413300} is an apocalyptic number.

26114050413300 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 26114050413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38600865386496).

26114050413300 is an abundant number, since it is smaller than the sum of its proper divisors (51087680359692).

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

26114050413300 is a wasteful number, since it uses less digits than its factorization.

26114050413300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899878 (or 899871 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 26114050413300 its reverse (331405041162), we get a palindrome (26445455454462).

The spelling of 26114050413300 in words is "twenty-six trillion, one hundred fourteen billion, fifty million, four hundred thirteen thousand, three hundred".