26769083160960 has 1280 divisors, whose sum is σ = 112713921239040. Its totient is φ = 5926377996288.

The previous prime is 26769083160811. The next prime is 26769083160991. The reversal of 26769083160960 is 6906138096762.

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 159 ways as a sum of consecutive naturals, for example, 3047824729 + ... + 3047833511.

It is an arithmetic number, because the mean of its divisors is an integer number (88057750968).

Almost surely, 2^{26769083160960} is an apocalyptic number.

26769083160960 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 26769083160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56356960619520).

26769083160960 is an abundant number, since it is smaller than the sum of its proper divisors (85944838078080).

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

26769083160960 is a wasteful number, since it uses less digits than its factorization.

26769083160960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9064 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 26769083160960 in words is "twenty-six trillion, seven hundred sixty-nine billion, eighty-three million, one hundred sixty thousand, nine hundred sixty".