26053744400 has 120 divisors (see below), whose sum is σ = 66493304424. Its totient is φ = 9776332800.

The previous prime is 26053744369. The next prime is 26053744441. The reversal of 26053744400 is 444735062.

It can be written as a sum of positive squares in 12 ways, for example, as 15147701776 + 10906042624 = 123076^2 + 104432^2 .

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, 2122280 + ... + 2134520.

Almost surely, 2^26053744400 is an apocalyptic number.

26053744400 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 26053744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33246652212).

26053744400 is an abundant number, since it is smaller than the sum of its proper divisors (40439560024).

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

26053744400 is a wasteful number, since it uses less digits than its factorization.

26053744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12589 (or 12578 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 26053744400 in words is "twenty-six billion, fifty-three million, seven hundred forty-four thousand, four hundred".