26453165625 has 192 divisors, whose sum is σ = 53434080000. Its totient is φ = 12882240000.

The previous prime is 26453165593. The next prime is 26453165647. The reversal of 26453165625 is 52656135462.

26453165625 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 3 + 16 + 5 + 625 = 666.

It is not a de Polignac number, because 26453165625 - 2⁵ = 26453165593 is a prime.

It is a super-3 number, since 3×26453165625³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 46490341 + ... + 46490909.

It is an arithmetic number, because the mean of its divisors is an integer number (278302500).

Almost surely, 2^26453165625 is an apocalyptic number.

26453165625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26453165625 is an abundant number, since it is smaller than the sum of its proper divisors (26980914375).

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

26453165625 is an equidigital number, since it uses as much as digits as its factorization.

26453165625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 625 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 26453165625 in words is "twenty-six billion, four hundred fifty-three million, one hundred sixty-five thousand, six hundred twenty-five".