26381830325760 has 3200 divisors, whose sum is σ = 122896674109440. Its totient is φ = 5256733261824.

The previous prime is 26381830325729. The next prime is 26381830325771. The reversal of 26381830325760 is 6752303818362.

It is a happy number.

26381830325760 is a `hidden beast` number, since 2 + 6 + 3 + 8 + 1 + 8 + 30 + 32 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26381830325697 and 26381830325706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 38626398379 + ... + 38626399061.

Almost surely, 2^{26381830325760} is an apocalyptic number.

26381830325760 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 26381830325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61448337054720).

26381830325760 is an abundant number, since it is smaller than the sum of its proper divisors (96514843783680).

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

26381830325760 is a wasteful number, since it uses less digits than its factorization.

26381830325760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26381830325760 in words is "twenty-six trillion, three hundred eighty-one billion, eight hundred thirty million, three hundred twenty-five thousand, seven hundred sixty".