26320395404160 has 2592 divisors, whose sum is σ = 114354742156200. Its totient is φ = 5570870722560.

The previous prime is 26320395404159. The next prime is 26320395404207. The reversal of 26320395404160 is 6140459302362.

26320395404160 is a `hidden beast` number, since 2 + 6 + 3 + 2 + 0 + 3 + 9 + 540 + 41 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 42520832331 + ... + 42520832949.

Almost surely, 2^{26320395404160} is an apocalyptic number.

26320395404160 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 26320395404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177371078100).

26320395404160 is an abundant number, since it is smaller than the sum of its proper divisors (88034346752040).

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

26320395404160 is a wasteful number, since it uses less digits than its factorization.

26320395404160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 26320395404160 in words is "twenty-six trillion, three hundred twenty billion, three hundred ninety-five million, four hundred four thousand, one hundred sixty".