52712543161600 has 216 divisors, whose sum is σ = 149121914281088. Its totient is φ = 18071501414400.

The previous prime is 52712543161547. The next prime is 52712543161609. The reversal of 52712543161600 is 616134521725.

It is a super-2 number, since 2×52712543161600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52712543161609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 720661030 + ... + 720734170.

Almost surely, 2^{52712543161600} is an apocalyptic number.

52712543161600 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 52712543161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74560957140544).

52712543161600 is an abundant number, since it is smaller than the sum of its proper divisors (96409371119488).

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

52712543161600 is a wasteful number, since it uses less digits than its factorization.

52712543161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89261 (or 89242 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 52712543161600 in words is "fifty-two trillion, seven hundred twelve billion, five hundred forty-three million, one hundred sixty-one thousand, six hundred".