26165244672 has 252 divisors, whose sum is σ = 89497725520. Its totient is φ = 7475410944.

The previous prime is 26165244671. The next prime is 26165244673. The reversal of 26165244672 is 27644256162.

26165244672 is a `hidden beast` number, since 2 + 6 + 16 + 524 + 46 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (26165244671) and next prime (26165244673).

It is a tau number, because it is divible by the number of its divisors (252).

It is not an unprimeable number, because it can be changed into a prime (26165244671) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1296354 + ... + 1316382.

Almost surely, 2^26165244672 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 26165244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44748862760).

26165244672 is an abundant number, since it is smaller than the sum of its proper divisors (63332480848).

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

26165244672 is an frugal number, since it uses more digits than its factorization.

26165244672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20070 (or 20041 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 26165244672 in words is "twenty-six billion, one hundred sixty-five million, two hundred forty-four thousand, six hundred seventy-two".