26573103648 has 864 divisors, whose sum is σ = 104343168384. Its totient is φ = 6455697408.

The previous prime is 26573103637. The next prime is 26573103649. The reversal of 26573103648 is 84630137562.

26573103648 is a `hidden beast` number, since 2 + 6 + 573 + 1 + 0 + 36 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×26573103648² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26573103649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565385161 + ... + 565385207.

It is an arithmetic number, because the mean of its divisors is an integer number (120767556).

Almost surely, 2^26573103648 is an apocalyptic number.

26573103648 is a gapful number since it is divisible by the number (28) 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 26573103648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52171584192).

26573103648 is an abundant number, since it is smaller than the sum of its proper divisors (77770064736).

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

26573103648 is a wasteful number, since it uses less digits than its factorization.

26573103648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26573103648 in words is "twenty-six billion, five hundred seventy-three million, one hundred three thousand, six hundred forty-eight".