52809537945600 has 1104 divisors, whose sum is σ = 202711694787840. Its totient is φ = 13453649510400.

The previous prime is 52809537945569. The next prime is 52809537945601. The reversal of 52809537945600 is 654973590825.

52809537945600 is a `hidden beast` number, since 5 + 2 + 8 + 0 + 9 + 537 + 94 + 5 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1104).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52809537945601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65116569195 + ... + 65116570005.

Almost surely, 2^{52809537945600} is an apocalyptic number.

52809537945600 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 52809537945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101355847393920).

52809537945600 is an abundant number, since it is smaller than the sum of its proper divisors (149902156842240).

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

52809537945600 is an frugal number, since it uses more digits than its factorization.

52809537945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 63.

The spelling of 52809537945600 in words is "fifty-two trillion, eight hundred nine billion, five hundred thirty-seven million, nine hundred forty-five thousand, six hundred".