26538870113280 has 1056 divisors, whose sum is σ = 107010554576640. Its totient is φ = 5955724247040.

The previous prime is 26538870113243. The next prime is 26538870113281. The reversal of 26538870113280 is 8231107883562.

26538870113280 is a `hidden beast` number, since 2 + 6 + 5 + 388 + 70 + 113 + 2 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (26538870113281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16311535827 + ... + 16311537453.

It is an arithmetic number, because the mean of its divisors is an integer number (101335752440).

Almost surely, 2^{26538870113280} is an apocalyptic number.

26538870113280 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 26538870113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53505277288320).

26538870113280 is an abundant number, since it is smaller than the sum of its proper divisors (80471684463360).

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

26538870113280 is a wasteful number, since it uses less digits than its factorization.

26538870113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 26538870113280 in words is "twenty-six trillion, five hundred thirty-eight billion, eight hundred seventy million, one hundred thirteen thousand, two hundred eighty".