53124102304000 has 576 divisors, whose sum is σ = 163059998879232. Its totient is φ = 16794169344000.

The previous prime is 53124102303997. The next prime is 53124102304043. The reversal of 53124102304000 is 40320142135.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 63 ways as a sum of consecutive naturals, for example, 2740182307 + ... + 2740201693.

It is an arithmetic number, because the mean of its divisors is an integer number (283090275832).

Almost surely, 2^{53124102304000} is an apocalyptic number.

53124102304000 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 53124102304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81529999439616).

53124102304000 is an abundant number, since it is smaller than the sum of its proper divisors (109935896575232).

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

53124102304000 is a wasteful number, since it uses less digits than its factorization.

53124102304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20379 (or 20355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 53124102304000 its reverse (40320142135), we get a palindrome (53164422446135).

The spelling of 53124102304000 in words is "fifty-three trillion, one hundred twenty-four billion, one hundred two million, three hundred four thousand".