26108396505600 has 480 divisors, whose sum is σ = 87640559079744. Its totient is φ = 6850245427200.

The previous prime is 26108396505599. The next prime is 26108396505623. The reversal of 26108396505600 is 650569380162.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180136139 + ... + 1180158261.

Almost surely, 2^{26108396505600} is an apocalyptic number.

26108396505600 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 26108396505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43820279539872).

26108396505600 is an abundant number, since it is smaller than the sum of its proper divisors (61532162574144).

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

26108396505600 is a wasteful number, since it uses less digits than its factorization.

26108396505600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22648 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 26108396505600 in words is "twenty-six trillion, one hundred eight billion, three hundred ninety-six million, five hundred five thousand, six hundred".