26583241152 has 224 divisors, whose sum is σ = 78717038400. Its totient is φ = 7861174272.

The previous prime is 26583241151. The next prime is 26583241159. The reversal of 26583241152 is 25114238562.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 26583241152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26583241151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18601974 + ... + 18603402.

It is an arithmetic number, because the mean of its divisors is an integer number (351415350).

Almost surely, 2^26583241152 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 26583241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39358519200).

26583241152 is an abundant number, since it is smaller than the sum of its proper divisors (52133797248).

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

26583241152 is a wasteful number, since it uses less digits than its factorization.

26583241152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1743 (or 1733 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The spelling of 26583241152 in words is "twenty-six billion, five hundred eighty-three million, two hundred forty-one thousand, one hundred fifty-two".