26166748533408 has 1296 divisors, whose sum is σ = 94855949566560. Its totient is φ = 6803024578560.

The previous prime is 26166748533347. The next prime is 26166748533413. The reversal of 26166748533408 is 80433584766162.

It is a happy number.

26166748533408 is a `hidden beast` number, since 2 + 6 + 16 + 6 + 7 + 48 + 533 + 40 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44577084091 + ... + 44577084677.

It is an arithmetic number, because the mean of its divisors is an integer number (73191319110).

Almost surely, 2^{26166748533408} is an apocalyptic number.

26166748533408 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 26166748533408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47427974783280).

26166748533408 is an abundant number, since it is smaller than the sum of its proper divisors (68689201033152).

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

26166748533408 is a wasteful number, since it uses less digits than its factorization.

26166748533408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 26166748533408 in words is "twenty-six trillion, one hundred sixty-six billion, seven hundred forty-eight million, five hundred thirty-three thousand, four hundred eight".