66366252288 has 900 divisors, whose sum is σ = 243849592448. Its totient is φ = 17923368960.

The previous prime is 66366252269. The next prime is 66366252299. The reversal of 66366252288 is 88225266366.

66366252288 is a `hidden beast` number, since 6 + 6 + 3 + 6 + 625 + 2 + 2 + 8 + 8 = 666.

66366252288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1543401195 + ... + 1543401237.

Almost surely, 2^66366252288 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 66366252288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121924796224).

66366252288 is an abundant number, since it is smaller than the sum of its proper divisors (177483340160).

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

66366252288 is an frugal number, since it uses more digits than its factorization.

66366252288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 86 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 66366252288 in words is "sixty-six billion, three hundred sixty-six million, two hundred fifty-two thousand, two hundred eighty-eight".