52183991462400 has 1440 divisors, whose sum is σ = 222858769161600. Its totient is φ = 11650000158720.

The previous prime is 52183991462381. The next prime is 52183991462401. The reversal of 52183991462400 is 426419938125.

It is a happy number.

52183991462400 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 3 + 9 + 9 + 1 + 4 + 624 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×52183991462400² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52183991462401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1699069444 + ... + 1699100156.

It is an arithmetic number, because the mean of its divisors is an integer number (154763034140).

Almost surely, 2^{52183991462400} is an apocalyptic number.

52183991462400 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 52183991462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111429384580800).

52183991462400 is an abundant number, since it is smaller than the sum of its proper divisors (170674777699200).

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

52183991462400 is a wasteful number, since it uses less digits than its factorization.

52183991462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30811 (or 30773 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 52183991462400 in words is "fifty-two trillion, one hundred eighty-three billion, nine hundred ninety-one million, four hundred sixty-two thousand, four hundred".