26541014200400 has 120 divisors (see below), whose sum is σ = 75224817636864. Its totient is φ = 8806235097600.

The previous prime is 26541014200397. The next prime is 26541014200417. The reversal of 26541014200400 is 400241014562.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152799227 + ... + 152972826.

Almost surely, 2^{26541014200400} is an apocalyptic number.

26541014200400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26541014200400 is an abundant number, since it is smaller than the sum of its proper divisors (48683803436464).

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

26541014200400 is a wasteful number, since it uses less digits than its factorization.

26541014200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305772109 (or 305772098 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 26541014200400 its reverse (400241014562), we get a palindrome (26941255214962).

The spelling of 26541014200400 in words is "twenty-six trillion, five hundred forty-one billion, fourteen million, two hundred thousand, four hundred".