26946143424 has 112 divisors (see below), whose sum is σ = 79446729600. Its totient is φ = 8955963648.

The previous prime is 26946143401. The next prime is 26946143443. The reversal of 26946143424 is 42434164962.

26946143424 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 614 + 3 + 4 + 24 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26946143424.

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 15 ways as a sum of consecutive naturals, for example, 577147 + ... + 622085.

It is an arithmetic number, because the mean of its divisors is an integer number (709345800).

Almost surely, 2^26946143424 is an apocalyptic number.

26946143424 is a gapful number since it is divisible by the number (24) 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 26946143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39723364800).

26946143424 is an abundant number, since it is smaller than the sum of its proper divisors (52500586176).

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

26946143424 is a wasteful number, since it uses less digits than its factorization.

26946143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45307 (or 45291 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The spelling of 26946143424 in words is "twenty-six billion, nine hundred forty-six million, one hundred forty-three thousand, four hundred twenty-four".