26328412551168 has 768 divisors, whose sum is σ = 96367235328000. Its totient is φ = 6916398907392.

The previous prime is 26328412551157. The next prime is 26328412551229. The reversal of 26328412551168 is 86115521482362.

26328412551168 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 8 + 41 + 25 + 511 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1293197373 + ... + 1293217731.

It is an arithmetic number, because the mean of its divisors is an integer number (125478171000).

Almost surely, 2^{26328412551168} is an apocalyptic number.

26328412551168 is a gapful number since it is divisible by the number (28) 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 26328412551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48183617664000).

26328412551168 is an abundant number, since it is smaller than the sum of its proper divisors (70038822776832).

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

26328412551168 is a wasteful number, since it uses less digits than its factorization.

26328412551168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20667 (or 20641 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The spelling of 26328412551168 in words is "twenty-six trillion, three hundred twenty-eight billion, four hundred twelve million, five hundred fifty-one thousand, one hundred sixty-eight".