52164232560 has 480 divisors, whose sum is σ = 199440895680. Its totient is φ = 12203304960.

The previous prime is 52164232513. The next prime is 52164232567. The reversal of 52164232560 is 6523246125.

52164232560 is a `hidden beast` number, since 5 + 2 + 1 + 64 + 2 + 32 + 560 = 666.

It is a super-3 number, since 3×52164232560³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52164232567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27790342 + ... + 27792218.

It is an arithmetic number, because the mean of its divisors is an integer number (415501866).

Almost surely, 2^52164232560 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 52164232560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99720447840).

52164232560 is an abundant number, since it is smaller than the sum of its proper divisors (147276663120).

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

52164232560 is a wasteful number, since it uses less digits than its factorization.

52164232560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 52164232560 its reverse (6523246125), we get a palindrome (58687478685).

The spelling of 52164232560 in words is "fifty-two billion, one hundred sixty-four million, two hundred thirty-two thousand, five hundred sixty".