26860610736960 has 1792 divisors, whose sum is σ = 116745676185600. Its totient is φ = 5052284928000.

The previous prime is 26860610736929. The next prime is 26860610736991. The reversal of 26860610736960 is 6963701606862.

It is an interprime number because it is at equal distance from previous prime (26860610736929) and next prime (26860610736991).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 26860610736894 and 26860610736903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10579207371 + ... + 10579209909.

It is an arithmetic number, because the mean of its divisors is an integer number (65148256800).

Almost surely, 2^{26860610736960} is an apocalyptic number.

26860610736960 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 26860610736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58372838092800).

26860610736960 is an abundant number, since it is smaller than the sum of its proper divisors (89885065448640).

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

26860610736960 is a wasteful number, since it uses less digits than its factorization.

26860610736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 26860610736960 in words is "twenty-six trillion, eight hundred sixty billion, six hundred ten million, seven hundred thirty-six thousand, nine hundred sixty".