26651205672 has 256 divisors, whose sum is σ = 86944972800. Its totient is φ = 6617687040.

The previous prime is 26651205653. The next prime is 26651205673. The reversal of 26651205672 is 27650215662.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (26651205673) 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 63 ways as a sum of consecutive naturals, for example, 2499729 + ... + 2510367.

It is an arithmetic number, because the mean of its divisors is an integer number (339628800).

Almost surely, 2^26651205672 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 26651205672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43472486400).

26651205672 is an abundant number, since it is smaller than the sum of its proper divisors (60293767128).

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

26651205672 is a wasteful number, since it uses less digits than its factorization.

26651205672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10736 (or 10732 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 26651205672 in words is "twenty-six billion, six hundred fifty-one million, two hundred five thousand, six hundred seventy-two".