26004125952 has 648 divisors, whose sum is σ = 95420052000. Its totient is φ = 7023034368.

The previous prime is 26004125941. The next prime is 26004126037. The reversal of 26004125952 is 25952140062.

26004125952 is a `hidden beast` number, since 2 + 60 + 0 + 4 + 1 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 57915424 + ... + 57915872.

Almost surely, 2^26004125952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26004125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47710026000).

26004125952 is an abundant number, since it is smaller than the sum of its proper divisors (69415926048).

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

26004125952 is an equidigital number, since it uses as much as digits as its factorization.

26004125952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 26004125952 in words is "twenty-six billion, four million, one hundred twenty-five thousand, nine hundred fifty-two".