26671153152 has 320 divisors, whose sum is σ = 83704971960. Its totient is φ = 7552892928.

The previous prime is 26671153151. The next prime is 26671153163. The reversal of 26671153152 is 25135117662.

It is a super-2 number, since 2×26671153152² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 26671153152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26671153151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 236027848 + ... + 236027960.

Almost surely, 2^26671153152 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 26671153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41852485980).

26671153152 is an abundant number, since it is smaller than the sum of its proper divisors (57033818808).

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

26671153152 is an frugal number, since it uses more digits than its factorization.

26671153152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 125 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The spelling of 26671153152 in words is "twenty-six billion, six hundred seventy-one million, one hundred fifty-three thousand, one hundred fifty-two".