26816858853120 has 1728 divisors, whose sum is σ = 112836347559936. Its totient is φ = 5970833326080.

The previous prime is 26816858853089. The next prime is 26816858853121. The reversal of 26816858853120 is 2135885861862.

It is a happy number.

26816858853120 is a `hidden beast` number, since 2 + 6 + 8 + 16 + 8 + 5 + 88 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26816858853121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27732014877 + ... + 27732015843.

Almost surely, 2^{26816858853120} is an apocalyptic number.

26816858853120 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 26816858853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56418173779968).

26816858853120 is an abundant number, since it is smaller than the sum of its proper divisors (86019488706816).

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

26816858853120 is an equidigital number, since it uses as much as digits as its factorization.

26816858853120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 44236800, while the sum is 63.

The spelling of 26816858853120 in words is "twenty-six trillion, eight hundred sixteen billion, eight hundred fifty-eight million, eight hundred fifty-three thousand, one hundred twenty".