52533316113600 has 672 divisors, whose sum is σ = 207549256711680. Its totient is φ = 11364265820160.

The previous prime is 52533316113587. The next prime is 52533316113601. The reversal of 52533316113600 is 631161333525.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (52533316113601) 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, 646658584 + ... + 646739816.

Almost surely, 2^{52533316113600} is an apocalyptic number.

52533316113600 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 52533316113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103774628355840).

52533316113600 is an abundant number, since it is smaller than the sum of its proper divisors (155015940598080).

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

52533316113600 is a wasteful number, since it uses less digits than its factorization.

52533316113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82297 (or 82282 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 39.

The spelling of 52533316113600 in words is "fifty-two trillion, five hundred thirty-three billion, three hundred sixteen million, one hundred thirteen thousand, six hundred".