26567881632 has 192 divisors, whose sum is σ = 79080946560. Its totient is φ = 8675776512.

The previous prime is 26567881631. The next prime is 26567881651. The reversal of 26567881632 is 23618876562.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26567881631) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9900963 + ... + 9903645.

It is an arithmetic number, because the mean of its divisors is an integer number (411879930).

Almost surely, 2^26567881632 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 26567881632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39540473280).

26567881632 is an abundant number, since it is smaller than the sum of its proper divisors (52513064928).

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

26567881632 is a wasteful number, since it uses less digits than its factorization.

26567881632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2918 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 26567881632 in words is "twenty-six billion, five hundred sixty-seven million, eight hundred eighty-one thousand, six hundred thirty-two".