52242776064 has 224 divisors, whose sum is σ = 156725903940. Its totient is φ = 17414258688.

The previous prime is 52242776057. The next prime is 52242776093. The reversal of 52242776064 is 46067724225.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)¹².

52242776064 is a `hidden beast` number, since 522 + 4 + 2 + 7 + 7 + 60 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=2592.

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 17414258687 + 17414258688 + 17414258689.

Almost surely, 2^52242776064 is an apocalyptic number.

52242776064 is a gapful number since it is divisible by the number (54) 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 52242776064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78362951970).

52242776064 is an abundant number, since it is smaller than the sum of its proper divisors (104483127876).

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

52242776064 is an frugal number, since it uses more digits than its factorization.

52242776064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 52242776064 in words is "fifty-two billion, two hundred forty-two million, seven hundred seventy-six thousand, sixty-four".