26905605552 has 240 divisors, whose sum is σ = 87326553600. Its totient is φ = 7574611968.

The previous prime is 26905605541. The next prime is 26905605553. The reversal of 26905605552 is 25550650962.

26905605552 is a `hidden beast` number, since 2 + 6 + 90 + 5 + 6 + 0 + 5 + 552 = 666.

It is a super-2 number, since 2×26905605552² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 26905605498 and 26905605507.

It is not an unprimeable number, because it can be changed into a prime (26905605553) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22666303 + ... + 22667489.

It is an arithmetic number, because the mean of its divisors is an integer number (363860640).

Almost surely, 2^26905605552 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 26905605552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43663276800).

26905605552 is an abundant number, since it is smaller than the sum of its proper divisors (60420948048).

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

26905605552 is a wasteful number, since it uses less digits than its factorization.

26905605552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 26905605552 in words is "twenty-six billion, nine hundred five million, six hundred five thousand, five hundred fifty-two".