53202124800 has 720 divisors, whose sum is σ = 212978165400. Its totient is φ = 12582912000.

The previous prime is 53202124799. The next prime is 53202124823. The reversal of 53202124800 is 842120235.

53202124800 is a `hidden beast` number, since 532 + 0 + 2 + 124 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1297612780 + ... + 1297612820.

Almost surely, 2^53202124800 is an apocalyptic number.

53202124800 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 53202124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106489082700).

53202124800 is an abundant number, since it is smaller than the sum of its proper divisors (159776040600).

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

53202124800 is an equidigital number, since it uses as much as digits as its factorization.

53202124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 53202124800 in words is "fifty-three billion, two hundred two million, one hundred twenty-four thousand, eight hundred".