26280182016400 has 135 divisors (see below), whose sum is σ = 68371983198441. Its totient is φ = 9702959685120.

The previous prime is 26280182016377. The next prime is 26280182016409. The reversal of 26280182016400 is 461028108262.

It is a happy number.

The square root of 26280182016400 is 5126420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 24272451717264 + 2007730299136 = 4926708^2 + 1416944^2 .

It is a super-2 number, since 2×26280182016400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (26280182016409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1332859342 + ... + 1332879058.

Almost surely, 2^{26280182016400} is an apocalyptic number.

26280182016400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26280182016400 is the 5126420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26280182016400

26280182016400 is an abundant number, since it is smaller than the sum of its proper divisors (42091801182041).

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

26280182016400 is an frugal number, since it uses more digits than its factorization.

26280182016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39478 (or 19737 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 26280182016400 in words is "twenty-six trillion, two hundred eighty billion, one hundred eighty-two million, sixteen thousand, four hundred".