26661070080 has 576 divisors, whose sum is σ = 104583467520. Its totient is φ = 6397231104.

The previous prime is 26661070069. The next prime is 26661070109. The reversal of 26661070080 is 8007016662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13511974 + ... + 13513946.

It is an arithmetic number, because the mean of its divisors is an integer number (181568520).

Almost surely, 2^26661070080 is an apocalyptic number.

26661070080 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 26661070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52291733760).

26661070080 is an abundant number, since it is smaller than the sum of its proper divisors (77922397440).

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

26661070080 is a wasteful number, since it uses less digits than its factorization.

26661070080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 26661070080 in words is "twenty-six billion, six hundred sixty-one million, seventy thousand, eighty".