26006793120 has 1728 divisors, whose sum is σ = 125358420096. Its totient is φ = 5016453120.

The previous prime is 26006793083. The next prime is 26006793121. The reversal of 26006793120 is 2139760062.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26006793121) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 356257404 + ... + 356257476.

It is an arithmetic number, because the mean of its divisors is an integer number (72545382).

Almost surely, 2^26006793120 is an apocalyptic number.

26006793120 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 26006793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62679210048).

26006793120 is an abundant number, since it is smaller than the sum of its proper divisors (99351626976).

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

26006793120 is a wasteful number, since it uses less digits than its factorization.

26006793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 26006793120 in words is "twenty-six billion, six million, seven hundred ninety-three thousand, one hundred twenty".