26709838848 has 792 divisors, whose sum is σ = 103386928320. Its totient is φ = 6549258240.

The previous prime is 26709838817. The next prime is 26709838907. The reversal of 26709838848 is 84883890762.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×26709838848² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94380915 + ... + 94381197.

Almost surely, 2^26709838848 is an apocalyptic number.

26709838848 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 26709838848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51693464160).

26709838848 is an abundant number, since it is smaller than the sum of its proper divisors (76677089472).

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

26709838848 is a wasteful number, since it uses less digits than its factorization.

26709838848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 26709838848 in words is "twenty-six billion, seven hundred nine million, eight hundred thirty-eight thousand, eight hundred forty-eight".