26813395180800 has 432 divisors, whose sum is σ = 99224095432000. Its totient is φ = 7084635217920.

The previous prime is 26813395180739. The next prime is 26813395180801. The reversal of 26813395180800 is 808159331862.

26813395180800 is a `hidden beast` number, since 2 + 6 + 8 + 13 + 39 + 518 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×26813395180800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26813395180801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18123411 + ... + 19546989.

Almost surely, 2^{26813395180800} is an apocalyptic number.

26813395180800 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 26813395180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49612047716000).

26813395180800 is an abundant number, since it is smaller than the sum of its proper divisors (72410700251200).

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

26813395180800 is a wasteful number, since it uses less digits than its factorization.

26813395180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423723 (or 1423698 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 26813395180800 in words is "twenty-six trillion, eight hundred thirteen billion, three hundred ninety-five million, one hundred eighty thousand, eight hundred".