26538467402500 has 135 divisors (see below), whose sum is σ = 58442150023257. Its totient is φ = 10541307672000.

The previous prime is 26538467402453. The next prime is 26538467402501. The reversal of 26538467402500 is 520476483562.

The square root of 26538467402500 is 5151550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4539891012804 + 21998576389696 = 2130702^2 + 4690264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (26538467402501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 50742767239 + ... + 50742767761.

Almost surely, 2^{26538467402500} is an apocalyptic number.

26538467402500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26538467402500 is the 5151550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26538467402500

26538467402500 is an abundant number, since it is smaller than the sum of its proper divisors (31903682620757).

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

26538467402500 is an frugal number, since it uses more digits than its factorization.

26538467402500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 52.

The spelling of 26538467402500 in words is "twenty-six trillion, five hundred thirty-eight billion, four hundred sixty-seven million, four hundred two thousand, five hundred".