26470105804800 has 1872 divisors, whose sum is σ = 112986443261952. Its totient is φ = 5795728588800.

The previous prime is 26470105804783. The next prime is 26470105804829. The reversal of 26470105804800 is 840850107462.

26470105804800 is a `hidden beast` number, since 2 + 64 + 7 + 0 + 1 + 0 + 580 + 4 + 8 + 0 + 0 = 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 (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21398629782 + ... + 21398631018.

It is an arithmetic number, because the mean of its divisors is an integer number (60356006016).

Almost surely, 2^{26470105804800} is an apocalyptic number.

26470105804800 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 26470105804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56493221630976).

26470105804800 is an abundant number, since it is smaller than the sum of its proper divisors (86516337457152).

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

26470105804800 is a wasteful number, since it uses less digits than its factorization.

26470105804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 26470105804800 in words is "twenty-six trillion, four hundred seventy billion, one hundred five million, eight hundred four thousand, eight hundred".