26668547136 has 1008 divisors, whose sum is σ = 106291684800. Its totient is φ = 6514421760.

The previous prime is 26668547057. The next prime is 26668547137. The reversal of 26668547136 is 63174586662.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×26668547136² (a number of 22 digits) contains 22 as substring.

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 (26668547137) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194660860 + ... + 194660996.

It is an arithmetic number, because the mean of its divisors is an integer number (105448100).

Almost surely, 2^26668547136 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 26668547136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53145842400).

26668547136 is an abundant number, since it is smaller than the sum of its proper divisors (79623137664).

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

26668547136 is a wasteful number, since it uses less digits than its factorization.

26668547136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 26668547136 in words is "twenty-six billion, six hundred sixty-eight million, five hundred forty-seven thousand, one hundred thirty-six".