53430827752800 has 3456 divisors, whose sum is σ = 217931779473408. Its totient is φ = 12739700736000.

The previous prime is 53430827752793. The next prime is 53430827752811. The reversal of 53430827752800 is 825772803435.

53430827752800 is a `hidden beast` number, since 5 + 3 + 4 + 30 + 82 + 7 + 7 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 499353530347 + ... + 499353530453.

It is an arithmetic number, because the mean of its divisors is an integer number (63058963968).

Almost surely, 2^{53430827752800} is an apocalyptic number.

53430827752800 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 53430827752800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108965889736704).

53430827752800 is an abundant number, since it is smaller than the sum of its proper divisors (164500951720608).

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

53430827752800 is a wasteful number, since it uses less digits than its factorization.

53430827752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 53430827752800 in words is "fifty-three trillion, four hundred thirty billion, eight hundred twenty-seven million, seven hundred fifty-two thousand, eight hundred".