52140814387200 has 6912 divisors, whose sum is σ = 266742927360000. Its totient is φ = 9832248115200.

The previous prime is 52140814387199. The next prime is 52140814387273. The reversal of 52140814387200 is 278341804125.

52140814387200 is a `hidden beast` number, since 5 + 2 + 1 + 4 + 0 + 8 + 1 + 438 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 410557593537 + ... + 410557593663.

It is an arithmetic number, because the mean of its divisors is an integer number (38591280000).

Almost surely, 2^{52140814387200} is an apocalyptic number.

52140814387200 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 52140814387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133371463680000).

52140814387200 is an abundant number, since it is smaller than the sum of its proper divisors (214602112972800).

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

52140814387200 is a wasteful number, since it uses less digits than its factorization.

52140814387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52140814387200 in words is "fifty-two trillion, one hundred forty billion, eight hundred fourteen million, three hundred eighty-seven thousand, two hundred".