26424006752 has 96 divisors (see below), whose sum is σ = 61558237440. Its totient is φ = 11006968320.

The previous prime is 26424006751. The next prime is 26424006769. The reversal of 26424006752 is 25760042462.

It is a happy number.

It is a super-3 number, since 3×26424006752³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26424006751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615293 + ... + 656835.

It is an arithmetic number, because the mean of its divisors is an integer number (641231640).

Almost surely, 2^26424006752 is an apocalyptic number.

26424006752 is a gapful number since it is divisible by the number (22) 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 26424006752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30779118720).

26424006752 is an abundant number, since it is smaller than the sum of its proper divisors (35134230688).

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

26424006752 is a wasteful number, since it uses less digits than its factorization.

26424006752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41716 (or 41708 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

The spelling of 26424006752 in words is "twenty-six billion, four hundred twenty-four million, six thousand, seven hundred fifty-two".