52121853273600 has 720 divisors, whose sum is σ = 210051227003904. Its totient is φ = 12227991552000.

The previous prime is 52121853273583. The next prime is 52121853273601. The reversal of 52121853273600 is 637235812125.

52121853273600 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 1 + 8 + 5 + 32 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52121853273601) 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 71 ways as a sum of consecutive naturals, for example, 38619789 + ... + 39946611.

Almost surely, 2^{52121853273600} is an apocalyptic number.

52121853273600 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 52121853273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105025613501952).

52121853273600 is an abundant number, since it is smaller than the sum of its proper divisors (157929373730304).

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

52121853273600 is a wasteful number, since it uses less digits than its factorization.

52121853273600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326899 (or 1326875 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 52121853273600 in words is "fifty-two trillion, one hundred twenty-one billion, eight hundred fifty-three million, two hundred seventy-three thousand, six hundred".