26180858025 has 243 divisors, whose sum is σ = 57887402391. Its totient is φ = 11277161280.

The previous prime is 26180857991. The next prime is 26180858029. The reversal of 26180858025 is 52085808162.

The square root of 26180858025 is 161805.

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

26180858025 is a `hidden beast` number, since 2 + 61 + 8 + 0 + 8 + 580 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9425108889 + 16755749136 = 97083^2 + 129444^2 .

It is not a de Polignac number, because 26180858025 - 2¹¹ = 26180855977 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (26180858029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 390759042 + ... + 390759108.

Almost surely, 2^26180858025 is an apocalyptic number.

26180858025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

26180858025 is the 161805-th square number.

26180858025 is the 80903-rd centered octagonal number.

It is an amenable number.

26180858025 is an abundant number, since it is smaller than the sum of its proper divisors (31706544366).

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

26180858025 is a wasteful number, since it uses less digits than its factorization.

26180858025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 26180858025 in words is "twenty-six billion, one hundred eighty million, eight hundred fifty-eight thousand, twenty-five".