26456521125 has 32 divisors (see below), whose sum is σ = 44266989312. Its totient is φ = 14032152000.

The previous prime is 26456521111. The next prime is 26456521127. The reversal of 26456521125 is 52112565462.

It is not a de Polignac number, because 26456521125 - 2⁴ = 26456521109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26456521127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127017 + ... + 262766.

It is an arithmetic number, because the mean of its divisors is an integer number (1383343416).

Almost surely, 2^26456521125 is an apocalyptic number.

26456521125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

26456521125 is a deficient number, since it is larger than the sum of its proper divisors (17810468187).

26456521125 is a wasteful number, since it uses less digits than its factorization.

26456521125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389982 (or 389972 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

It can be divided in two parts, 26456 and 521125, that added together give a triangular number (547581 = T₁₀₄₆).

The spelling of 26456521125 in words is "twenty-six billion, four hundred fifty-six million, five hundred twenty-one thousand, one hundred twenty-five".