53242336022400 has 1920 divisors, whose sum is σ = 234980558376960. Its totient is φ = 11614880563200.

The previous prime is 53242336022377. The next prime is 53242336022413. The reversal of 53242336022400 is 422063324235.

53242336022400 is a `hidden beast` number, since 5 + 3 + 2 + 4 + 2 + 3 + 3 + 602 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4105980717 + ... + 4105993683.

It is an arithmetic number, because the mean of its divisors is an integer number (122385707488).

Almost surely, 2^{53242336022400} is an apocalyptic number.

53242336022400 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 53242336022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117490279188480).

53242336022400 is an abundant number, since it is smaller than the sum of its proper divisors (181738222354560).

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

53242336022400 is a wasteful number, since it uses less digits than its factorization.

53242336022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13088 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 53242336022400 its reverse (422063324235), we get a palindrome (53664399346635).

The spelling of 53242336022400 in words is "fifty-three trillion, two hundred forty-two billion, three hundred thirty-six million, twenty-two thousand, four hundred".