52413845299200 has 6048 divisors, whose sum is σ = 263530992936960. Its totient is φ = 9985130496000.

The previous prime is 52413845299171. The next prime is 52413845299201. The reversal of 52413845299200 is 299254831425.

52413845299200 is a `hidden beast` number, since 5 + 2 + 4 + 1 + 384 + 52 + 9 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×52413845299200² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52413845299201) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1690769203185 + ... + 1690769203215.

Almost surely, 2^{52413845299200} is an apocalyptic number.

52413845299200 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 52413845299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131765496468480).

52413845299200 is an abundant number, since it is smaller than the sum of its proper divisors (211117147637760).

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

52413845299200 is a wasteful number, since it uses less digits than its factorization.

52413845299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 52413845299200 in words is "fifty-two trillion, four hundred thirteen billion, eight hundred forty-five million, two hundred ninety-nine thousand, two hundred".