52664171582880 has 1536 divisors, whose sum is σ = 228691946004480. Its totient is φ = 11136534773760.

The previous prime is 52664171582873. The next prime is 52664171582909. The reversal of 52664171582880 is 8828517146625.

52664171582880 is a `hidden beast` number, since 5 + 2 + 6 + 6 + 41 + 7 + 1 + 582 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×52664171582880² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1179281512 + ... + 1179326168.

It is an arithmetic number, because the mean of its divisors is an integer number (148887985680).

Almost surely, 2^{52664171582880} 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 52664171582880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114345973002240).

52664171582880 is an abundant number, since it is smaller than the sum of its proper divisors (176027774421600).

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

52664171582880 is a wasteful number, since it uses less digits than its factorization.

52664171582880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44811 (or 44797 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 52664171582880 in words is "fifty-two trillion, six hundred sixty-four billion, one hundred seventy-one million, five hundred eighty-two thousand, eight hundred eighty".