66252300400 has 240 divisors, whose sum is σ = 195132510720. Its totient is φ = 21271219200.

The previous prime is 66252300319. The next prime is 66252300403. The reversal of 66252300400 is 400325266.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66252300403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1290421 + ... + 1340779.

It is an arithmetic number, because the mean of its divisors is an integer number (813052128).

Almost surely, 2^66252300400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66252300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97566255360).

66252300400 is an abundant number, since it is smaller than the sum of its proper divisors (128880210320).

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

66252300400 is a wasteful number, since it uses less digits than its factorization.

66252300400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50424 (or 50413 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 66252300400 its reverse (400325266), we get a palindrome (66652625666).

The spelling of 66252300400 in words is "sixty-six billion, two hundred fifty-two million, three hundred thousand, four hundred".