26338552320 has 160 divisors (see below), whose sum is σ = 86918008320. Its totient is φ = 6796984320.

The previous prime is 26338552309. The next prime is 26338552333. The reversal of 26338552320 is 2325583362.

It is a tau number, because it is divible by the number of its divisors (160).

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, 182766 + ... + 293394.

It is an arithmetic number, because the mean of its divisors is an integer number (543237552).

Almost surely, 2^26338552320 is an apocalyptic number.

26338552320 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 26338552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43459004160).

26338552320 is an abundant number, since it is smaller than the sum of its proper divisors (60579456000).

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

26338552320 is a wasteful number, since it uses less digits than its factorization.

26338552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110686 (or 110670 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 26338552320 in words is "twenty-six billion, three hundred thirty-eight million, five hundred fifty-two thousand, three hundred twenty".