26660556000 has 768 divisors, whose sum is σ = 110756056320. Its totient is φ = 6171033600.

The previous prime is 26660555981. The next prime is 26660556011. The reversal of 26660556000 is 65506662.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 23867442 + ... + 23868558.

It is an arithmetic number, because the mean of its divisors is an integer number (144213615).

Almost surely, 2^26660556000 is an apocalyptic number.

26660556000 is a gapful number since it is divisible by the number (20) 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 26660556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55378028160).

26660556000 is an abundant number, since it is smaller than the sum of its proper divisors (84095500320).

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

26660556000 is a wasteful number, since it uses less digits than its factorization.

26660556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

It can be divided in two parts, 26660 and 556000, that added together give a triangular number (582660 = T₁₀₇₉).

The spelling of 26660556000 in words is "twenty-six billion, six hundred sixty million, five hundred fifty-six thousand".