52468413120 has 448 divisors, whose sum is σ = 190011588480. Its totient is φ = 13624934400.

The previous prime is 52468413089. The next prime is 52468413121. The reversal of 52468413120 is 2131486425.

It is a happy number.

52468413120 is a `hidden beast` number, since 524 + 6 + 8 + 4 + 1 + 3 + 120 = 666.

It is a super-3 number, since 3×52468413120³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52468413121) 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 63 ways as a sum of consecutive naturals, for example, 59555080 + ... + 59555960.

It is an arithmetic number, because the mean of its divisors is an integer number (424133010).

Almost surely, 2^52468413120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52468413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95005794240).

52468413120 is an abundant number, since it is smaller than the sum of its proper divisors (137543175360).

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

52468413120 is a wasteful number, since it uses less digits than its factorization.

52468413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 52468413120 its reverse (2131486425), we get a palindrome (54599899545).

The spelling of 52468413120 in words is "fifty-two billion, four hundred sixty-eight million, four hundred thirteen thousand, one hundred twenty".