26605006344 has 96 divisors (see below), whose sum is σ = 82380168000. Its totient is φ = 7598537856.

The previous prime is 26605006327. The next prime is 26605006381. The reversal of 26605006344 is 44360050662.

26605006344 is a `hidden beast` number, since 2 + 6 + 605 + 0 + 0 + 6 + 3 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26605006299 and 26605006308.

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 23 ways as a sum of consecutive naturals, for example, 1558447 + ... + 1575425.

It is an arithmetic number, because the mean of its divisors is an integer number (858126750).

Almost surely, 2^26605006344 is an apocalyptic number.

26605006344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26605006344 is an abundant number, since it is smaller than the sum of its proper divisors (55775161656).

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

26605006344 is a wasteful number, since it uses less digits than its factorization.

26605006344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20107 (or 20100 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 26605006344 in words is "twenty-six billion, six hundred five million, six thousand, three hundred forty-four".