53112326400 has 864 divisors, whose sum is σ = 234396108800. Its totient is φ = 11496038400.

The previous prime is 53112326369. The next prime is 53112326413. The reversal of 53112326400 is 462321135.

53112326400 is a `hidden beast` number, since 5 + 3 + 1 + 12 + 3 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 22981245 + ... + 22983555.

Almost surely, 2^53112326400 is an apocalyptic number.

53112326400 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 53112326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117198054400).

53112326400 is an abundant number, since it is smaller than the sum of its proper divisors (181283782400).

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

53112326400 is a wasteful number, since it uses less digits than its factorization.

53112326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2347 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 53112326400 its reverse (462321135), we get a palindrome (53574647535).

The spelling of 53112326400 in words is "fifty-three billion, one hundred twelve million, three hundred twenty-six thousand, four hundred".