26279451133152 has 576 divisors, whose sum is σ = 89592363463680. Its totient is φ = 6683290435584.

The previous prime is 26279451133139. The next prime is 26279451133163. The reversal of 26279451133152 is 25133115497262.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 26279451133095 and 26279451133104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 900984873 + ... + 901014039.

It is an arithmetic number, because the mean of its divisors is an integer number (155542297680).

Almost surely, 2^{26279451133152} 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 26279451133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44796181731840).

26279451133152 is an abundant number, since it is smaller than the sum of its proper divisors (63312912330528).

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

26279451133152 is a wasteful number, since it uses less digits than its factorization.

26279451133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29823 (or 29808 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 51.

The spelling of 26279451133152 in words is "twenty-six trillion, two hundred seventy-nine billion, four hundred fifty-one million, one hundred thirty-three thousand, one hundred fifty-two".