26232814400 has 168 divisors, whose sum is σ = 70135891224. Its totient is φ = 9599385600.

The previous prime is 26232814369. The next prime is 26232814453. The reversal of 26232814400 is 441823262.

It can be written as a sum of positive squares in 12 ways, for example, as 25240312384 + 992502016 = 158872^2 + 31504^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2344820 + ... + 2355980.

It is an arithmetic number, because the mean of its divisors is an integer number (417475543).

Almost surely, 2^26232814400 is an apocalyptic number.

26232814400 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 26232814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35067945612).

26232814400 is an abundant number, since it is smaller than the sum of its proper divisors (43903076824).

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

26232814400 is a wasteful number, since it uses less digits than its factorization.

26232814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 26232814400 in words is "twenty-six billion, two hundred thirty-two million, eight hundred fourteen thousand, four hundred".