26660643609600 has 6336 divisors, whose sum is σ = 137931678474240. Its totient is φ = 4904976384000.

The previous prime is 26660643609521. The next prime is 26660643609601. The reversal of 26660643609600 is 690634606662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26660643609601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 235934899144 + ... + 235934899256.

Almost surely, 2^{26660643609600} is an apocalyptic number.

26660643609600 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 26660643609600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68965839237120).

26660643609600 is an abundant number, since it is smaller than the sum of its proper divisors (111271034864640).

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

26660643609600 is a wasteful number, since it uses less digits than its factorization.

26660643609600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 26660643609600 in words is "twenty-six trillion, six hundred sixty billion, six hundred forty-three million, six hundred nine thousand, six hundred".