26545345200 has 360 divisors, whose sum is σ = 101504525616. Its totient is φ = 6370560000.

The previous prime is 26545345159. The next prime is 26545345207. The reversal of 26545345200 is 254354562.

26545345200 is a `hidden beast` number, since 2 + 65 + 45 + 34 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26545345207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3996282 + ... + 4002918.

Almost surely, 2^26545345200 is an apocalyptic number.

26545345200 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 26545345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50752262808).

26545345200 is an abundant number, since it is smaller than the sum of its proper divisors (74959180416).

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

26545345200 is a wasteful number, since it uses less digits than its factorization.

26545345200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6759 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 26545345200 its reverse (254354562), we get a palindrome (26799699762).

The spelling of 26545345200 in words is "twenty-six billion, five hundred forty-five million, three hundred forty-five thousand, two hundred".