26861051300160 has 896 divisors, whose sum is σ = 106920437944320. Its totient is φ = 5550509260800.

The previous prime is 26861051300117. The next prime is 26861051300173. The reversal of 26861051300160 is 6100315016862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11483988271 + ... + 11483990609.

It is an arithmetic number, because the mean of its divisors is an integer number (119330845920).

Almost surely, 2^{26861051300160} is an apocalyptic number.

26861051300160 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 26861051300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53460218972160).

26861051300160 is an abundant number, since it is smaller than the sum of its proper divisors (80059386644160).

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

26861051300160 is a wasteful number, since it uses less digits than its factorization.

26861051300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3175 (or 3165 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 26861051300160 in words is "twenty-six trillion, eight hundred sixty-one billion, fifty-one million, three hundred thousand, one hundred sixty".