26583967872 has 768 divisors, whose sum is σ = 102995193600. Its totient is φ = 6392217600.

The previous prime is 26583967871. The next prime is 26583967897. The reversal of 26583967872 is 27876938562.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (26583967871) 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 95 ways as a sum of consecutive naturals, for example, 435802722 + ... + 435802782.

It is an arithmetic number, because the mean of its divisors is an integer number (134108325).

Almost surely, 2^26583967872 is an apocalyptic number.

26583967872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26583967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51497596800).

26583967872 is an abundant number, since it is smaller than the sum of its proper divisors (76411225728).

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

26583967872 is a wasteful number, since it uses less digits than its factorization.

26583967872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 101 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The spelling of 26583967872 in words is "twenty-six billion, five hundred eighty-three million, nine hundred sixty-seven thousand, eight hundred seventy-two".