26053657728 has 128 divisors (see below), whose sum is σ = 79301099520. Its totient is φ = 7424173056.

The previous prime is 26053657661. The next prime is 26053657757. The reversal of 26053657728 is 82775635062.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×26053657728³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1016851 + ... + 1042157.

It is an arithmetic number, because the mean of its divisors is an integer number (619539840).

Almost surely, 2^26053657728 is an apocalyptic number.

26053657728 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 26053657728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39650549760).

26053657728 is an abundant number, since it is smaller than the sum of its proper divisors (53247441792).

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

26053657728 is a wasteful number, since it uses less digits than its factorization.

26053657728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25714 (or 25702 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 51.

The spelling of 26053657728 in words is "twenty-six billion, fifty-three million, six hundred fifty-seven thousand, seven hundred twenty-eight".