26679584952 has 320 divisors, whose sum is σ = 80010136800. Its totient is φ = 8291082240.

The previous prime is 26679584951. The next prime is 26679584959. The reversal of 26679584952 is 25948597662.

26679584952 is a `hidden beast` number, since 26 + 6 + 79 + 58 + 495 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 26679584952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26679584951) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110703552 + ... + 110703792.

Almost surely, 2^26679584952 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 26679584952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40005068400).

26679584952 is an abundant number, since it is smaller than the sum of its proper divisors (53330551848).

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

26679584952 is a wasteful number, since it uses less digits than its factorization.

26679584952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 26679584952 in words is "twenty-six billion, six hundred seventy-nine million, five hundred eighty-four thousand, nine hundred fifty-two".