52617263974200 has 384 divisors, whose sum is σ = 183611632032000. Its totient is φ = 13848422745600.

The previous prime is 52617263974189. The next prime is 52617263974217. The reversal of 52617263974200 is 247936271625.

52617263974200 is a `hidden beast` number, since 5 + 2 + 6 + 1 + 72 + 63 + 97 + 420 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 155258935 + ... + 155597465.

It is an arithmetic number, because the mean of its divisors is an integer number (478155291750).

Almost surely, 2^{52617263974200} is an apocalyptic number.

52617263974200 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 52617263974200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91805816016000).

52617263974200 is an abundant number, since it is smaller than the sum of its proper divisors (130994368057800).

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

52617263974200 is a wasteful number, since it uses less digits than its factorization.

52617263974200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338932 (or 338917 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 52617263974200 in words is "fifty-two trillion, six hundred seventeen billion, two hundred sixty-three million, nine hundred seventy-four thousand, two hundred".