52045281842400 has 2304 divisors, whose sum is σ = 250818266603520. Its totient is φ = 10082738995200.

The previous prime is 52045281842399. The next prime is 52045281842453. The reversal of 52045281842400 is 424818254025.

It is a happy number.

52045281842400 is a `hidden beast` number, since 5 + 2 + 0 + 4 + 528 + 1 + 84 + 2 + 40 + 0 = 666.

52045281842400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×52045281842400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3025352199 + ... + 3025369401.

It is an arithmetic number, because the mean of its divisors is an integer number (108862094880).

Almost surely, 2^{52045281842400} is an apocalyptic number.

52045281842400 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 52045281842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125409133301760).

52045281842400 is an abundant number, since it is smaller than the sum of its proper divisors (198772984761120).

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

52045281842400 is a wasteful number, since it uses less digits than its factorization.

52045281842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17374 (or 17355 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 45.

The spelling of 52045281842400 in words is "fifty-two trillion, forty-five billion, two hundred eighty-one million, eight hundred forty-two thousand, four hundred".