52466958087264 has 864 divisors, whose sum is σ = 187693728768000. Its totient is φ = 13601623818240.

The previous prime is 52466958087209. The next prime is 52466958087311. The reversal of 52466958087264 is 46278085966425.

52466958087264 is a `hidden beast` number, since 5 + 2 + 466 + 9 + 5 + 80 + 87 + 2 + 6 + 4 = 666.

It is a super-3 number, since 3×52466958087264³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 52466958087192 and 52466958087201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4858496137 + ... + 4858506935.

It is an arithmetic number, because the mean of its divisors is an integer number (217238112000).

Almost surely, 2^{52466958087264} 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 52466958087264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93846864384000).

52466958087264 is an abundant number, since it is smaller than the sum of its proper divisors (135226770680736).

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

52466958087264 is a wasteful number, since it uses less digits than its factorization.

52466958087264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 52466958087264 in words is "fifty-two trillion, four hundred sixty-six billion, nine hundred fifty-eight million, eighty-seven thousand, two hundred sixty-four".