26396738400 has 144 divisors (see below), whose sum is σ = 86298382800. Its totient is φ = 7008245760.

The previous prime is 26396738383. The next prime is 26396738447. The reversal of 26396738400 is 483769362.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26396738400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 525586 + ... + 573614.

It is an arithmetic number, because the mean of its divisors is an integer number (599294325).

Almost surely, 2^26396738400 is an apocalyptic number.

26396738400 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 26396738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43149191400).

26396738400 is an abundant number, since it is smaller than the sum of its proper divisors (59901644400).

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

26396738400 is a wasteful number, since it uses less digits than its factorization.

26396738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48281 (or 48268 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 26396738400 in words is "twenty-six billion, three hundred ninety-six million, seven hundred thirty-eight thousand, four hundred".