53324294400 has 1296 divisors, whose sum is σ = 224186901120. Its totient is φ = 11973427200.

The previous prime is 53324294389. The next prime is 53324294407. The reversal of 53324294400 is 449242335.

53324294400 is a `hidden beast` number, since 5 + 3 + 3 + 242 + 9 + 4 + 400 = 666.

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 (53324294407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 751046365 + ... + 751046435.

It is an arithmetic number, because the mean of its divisors is an integer number (172983720).

Almost surely, 2^53324294400 is an apocalyptic number.

53324294400 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 53324294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112093450560).

53324294400 is an abundant number, since it is smaller than the sum of its proper divisors (170862606720).

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

53324294400 is a wasteful number, since it uses less digits than its factorization.

53324294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 53324294400 in words is "fifty-three billion, three hundred twenty-four million, two hundred ninety-four thousand, four hundred".