26341221816900 has 81 divisors (see below), whose sum is σ = 82565579000541. Its totient is φ = 7024284758880.

The previous prime is 26341221816887. The next prime is 26341221816901. The reversal of 26341221816900 is 961812214362.

The square root of 26341221816900 is 5132370.

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

26341221816900 is a `hidden beast` number, since 2 + 6 + 3 + 412 + 218 + 16 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9482839854084 + 16858381962816 = 3079422^2 + 4105896^2 .

It is a super-2 number, since 2×26341221816900² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (26341221816901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 153885561 + ... + 154056639.

Almost surely, 2^{26341221816900} is an apocalyptic number.

26341221816900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

26341221816900 is the 5132370-th square number.

It is an amenable number.

26341221816900 is an abundant number, since it is smaller than the sum of its proper divisors (56224357183641).

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

26341221816900 is an frugal number, since it uses more digits than its factorization.

26341221816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342178 (or 171089 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 26341221816900 in words is "twenty-six trillion, three hundred forty-one billion, two hundred twenty-one million, eight hundred sixteen thousand, nine hundred".