26160281066400 has 1152 divisors, whose sum is σ = 97018830397440. Its totient is φ = 6077859840000.

The previous prime is 26160281066287. The next prime is 26160281066401. The reversal of 26160281066400 is 466018206162.

It is not an unprimeable number, because it can be changed into a prime (26160281066401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9175824975 + ... + 9175827825.

It is an arithmetic number, because the mean of its divisors is an integer number (84217734720).

Almost surely, 2^{26160281066400} is an apocalyptic number.

26160281066400 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 26160281066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48509415198720).

26160281066400 is an abundant number, since it is smaller than the sum of its proper divisors (70858549331040).

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

26160281066400 is a wasteful number, since it uses less digits than its factorization.

26160281066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 26160281066400 in words is "twenty-six trillion, one hundred sixty billion, two hundred eighty-one million, sixty-six thousand, four hundred".