26540400000 has 384 divisors, whose sum is σ = 93371836320. Its totient is φ = 6656000000.

The previous prime is 26540399999. The next prime is 26540400053. The reversal of 26540400000 is 404562.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 26540400000.

It is a congruent number.

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, 20399350 + ... + 20400650.

Almost surely, 2^26540400000 is an apocalyptic number.

26540400000 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 26540400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46685918160).

26540400000 is an abundant number, since it is smaller than the sum of its proper divisors (66831436320).

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

26540400000 is an equidigital number, since it uses as much as digits as its factorization.

26540400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 26540400000 its reverse (404562), we get a palindrome (26540804562).

The spelling of 26540400000 in words is "twenty-six billion, five hundred forty million, four hundred thousand".