66350052252 has 144 divisors (see below), whose sum is σ = 185536915200. Its totient is φ = 19825344000.

The previous prime is 66350052239. The next prime is 66350052269. The reversal of 66350052252 is 25225005366.

66350052252 is a `hidden beast` number, since 6 + 6 + 350 + 0 + 52 + 252 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8901127 + ... + 8908577.

It is an arithmetic number, because the mean of its divisors is an integer number (1288450800).

Almost surely, 2^66350052252 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 66350052252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92768457600).

66350052252 is an abundant number, since it is smaller than the sum of its proper divisors (119186862948).

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

66350052252 is a wasteful number, since it uses less digits than its factorization.

66350052252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7784 (or 7779 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 66350052252 in words is "sixty-six billion, three hundred fifty million, fifty-two thousand, two hundred fifty-two".