52716730305600 has 672 divisors, whose sum is σ = 199103412816000. Its totient is φ = 13552234536960.

The previous prime is 52716730305599. The next prime is 52716730305719. The reversal of 52716730305600 is 650303761725.

52716730305600 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 6 + 7 + 3 + 0 + 30 + 5 + 600 = 666.

It is a super-2 number, since 2×52716730305600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 825563274 + ... + 825627126.

It is an arithmetic number, because the mean of its divisors is an integer number (296284840500).

Almost surely, 2^{52716730305600} is an apocalyptic number.

52716730305600 is a gapful number since it is divisible by the number (50) 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 52716730305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99551706408000).

52716730305600 is an abundant number, since it is smaller than the sum of its proper divisors (146386682510400).

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

52716730305600 is a wasteful number, since it uses less digits than its factorization.

52716730305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64572 (or 64551 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 52716730305600 in words is "fifty-two trillion, seven hundred sixteen billion, seven hundred thirty million, three hundred five thousand, six hundred".