26864400000 has 384 divisors, whose sum is σ = 90901681920. Its totient is φ = 7027200000.

The previous prime is 26864399983. The next prime is 26864400047. The reversal of 26864400000 is 446862.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73199817 + ... + 73200183.

It is an arithmetic number, because the mean of its divisors is an integer number (236723130).

Almost surely, 2^26864400000 is an apocalyptic number.

26864400000 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 26864400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45450840960).

26864400000 is an abundant number, since it is smaller than the sum of its proper divisors (64037281920).

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

26864400000 is an frugal number, since it uses more digits than its factorization.

26864400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 26864400000 its reverse (446862), we get a palindrome (26864846862).

The spelling of 26864400000 in words is "twenty-six billion, eight hundred sixty-four million, four hundred thousand".