26668280162952 has 192 divisors, whose sum is σ = 75328291584000. Its totient is φ = 8512734569472.

The previous prime is 26668280162933. The next prime is 26668280163053. The reversal of 26668280162952 is 25926108286662.

It is a super-2 number, since 2×26668280162952² (a number of 28 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 26668280162952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999435003 + ... + 999461685.

It is an arithmetic number, because the mean of its divisors is an integer number (392334852000).

Almost surely, 2^{26668280162952} 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 26668280162952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37664145792000).

26668280162952 is an abundant number, since it is smaller than the sum of its proper divisors (48660011421048).

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

26668280162952 is a wasteful number, since it uses less digits than its factorization.

26668280162952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30620 (or 30613 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 26668280162952 in words is "twenty-six trillion, six hundred sixty-eight billion, two hundred eighty million, one hundred sixty-two thousand, nine hundred fifty-two".