26701086779136 has 864 divisors, whose sum is σ = 99785543477760. Its totient is φ = 6926534830080.

The previous prime is 26701086779083. The next prime is 26701086779173. The reversal of 26701086779136 is 63197768010762.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33927682935 + ... + 33927683721.

Almost surely, 2^{26701086779136} 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 26701086779136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49892771738880).

26701086779136 is an abundant number, since it is smaller than the sum of its proper divisors (73084456698624).

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

26701086779136 is an frugal number, since it uses more digits than its factorization.

26701086779136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 26701086779136 in words is "twenty-six trillion, seven hundred one billion, eighty-six million, seven hundred seventy-nine thousand, one hundred thirty-six".