26938431200 has 144 divisors (see below), whose sum is σ = 70516111680. Its totient is φ = 10012753920.

The previous prime is 26938431167. The next prime is 26938431203. The reversal of 26938431200 is 213483962.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26938431203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1061864 + ... + 1086936.

It is an arithmetic number, because the mean of its divisors is an integer number (489695220).

Almost surely, 2^26938431200 is an apocalyptic number.

26938431200 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 26938431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258055840).

26938431200 is an abundant number, since it is smaller than the sum of its proper divisors (43577680480).

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

26938431200 is a wasteful number, since it uses less digits than its factorization.

26938431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25189 (or 25176 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 26938431200 in words is "twenty-six billion, nine hundred thirty-eight million, four hundred thirty-one thousand, two hundred".