26708172320025 has 243 divisors, whose sum is σ = 56421150574269. Its totient is φ = 12042007165440.

The previous prime is 26708172319991. The next prime is 26708172320033. The reversal of 26708172320025 is 52002327180762.

The square root of 26708172320025 is 5167995.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18012592521 + 26690159727504 = 134211^2 + 5166252^2 .

It is a de Polignac number, because none of the positive numbers 2^k-26708172320025 is a prime.

It is a super-2 number, since 2×26708172320025² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 45039076129 + ... + 45039076721.

Almost surely, 2^{26708172320025} is an apocalyptic number.

26708172320025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26708172320025 is the 5167995-th square number.

26708172320025 is the 2583998-th centered octagonal number.

It is an amenable number.

26708172320025 is an abundant number, since it is smaller than the sum of its proper divisors (29712978254244).

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

26708172320025 is an frugal number, since it uses more digits than its factorization.

26708172320025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 26708172320025 in words is "twenty-six trillion, seven hundred eight billion, one hundred seventy-two million, three hundred twenty thousand, twenty-five".