52469013664800 has 1440 divisors, whose sum is σ = 199328862292560. Its totient is φ = 13420007424000.

The previous prime is 52469013664679. The next prime is 52469013664889. The reversal of 52469013664800 is 846631096425.

52469013664800 is a `hidden beast` number, since 5 + 2 + 4 + 6 + 90 + 13 + 66 + 480 + 0 = 666.

52469013664800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 373726224 + 52468639938576 = 19332^2 + 7243524^2 .

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

It is a super-3 number, since 3×52469013664800³ (a number of 42 digits) contains 333 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 94199306122 + ... + 94199306678.

Almost surely, 2^{52469013664800} is an apocalyptic number.

52469013664800 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 52469013664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99664431146280).

52469013664800 is an abundant number, since it is smaller than the sum of its proper divisors (146859848627760).

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

52469013664800 is a wasteful number, since it uses less digits than its factorization.

52469013664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 52469013664800 in words is "fifty-two trillion, four hundred sixty-nine billion, thirteen million, six hundred sixty-four thousand, eight hundred".