26530936338816 has 1920 divisors, whose sum is σ = 110250735487200. Its totient is φ = 6238461100032.

The previous prime is 26530936338769. The next prime is 26530936338857. The reversal of 26530936338816 is 61883363903562.

It is a happy number.

26530936338816 is a `hidden beast` number, since 2 + 6 + 530 + 9 + 3 + 6 + 3 + 3 + 88 + 16 = 666.

26530936338816 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2133220150 + ... + 2133232586.

Almost surely, 2^{26530936338816} is an apocalyptic number.

26530936338816 is a gapful number since it is divisible by the number (26) 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 26530936338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55125367743600).

26530936338816 is an abundant number, since it is smaller than the sum of its proper divisors (83719799148384).

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

26530936338816 is a wasteful number, since it uses less digits than its factorization.

26530936338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526 (or 12498 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 26530936338816 in words is "twenty-six trillion, five hundred thirty billion, nine hundred thirty-six million, three hundred thirty-eight thousand, eight hundred sixteen".