26454949560 has 384 divisors, whose sum is σ = 96220051200. Its totient is φ = 6258954240.

The previous prime is 26454949481. The next prime is 26454949637. The reversal of 26454949560 is 6594945462.

26454949560 is a `hidden beast` number, since 2 + 6 + 4 + 5 + 494 + 95 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 26454949497 and 26454949506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57137889 + ... + 57138351.

It is an arithmetic number, because the mean of its divisors is an integer number (250573050).

Almost surely, 2^26454949560 is an apocalyptic number.

26454949560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26454949560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48110025600).

26454949560 is an abundant number, since it is smaller than the sum of its proper divisors (69765101640).

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

26454949560 is a wasteful number, since it uses less digits than its factorization.

26454949560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 26454949560 in words is "twenty-six billion, four hundred fifty-four million, nine hundred forty-nine thousand, five hundred sixty".