53658385200 has 720 divisors, whose sum is σ = 233725040640. Its totient is φ = 11540828160.

The previous prime is 53658385163. The next prime is 53658385201. The reversal of 53658385200 is 258385635.

53658385200 is a `hidden beast` number, since 5 + 3 + 65 + 8 + 385 + 200 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (53658385201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11564481 + ... + 11569119.

It is an arithmetic number, because the mean of its divisors is an integer number (324618112).

Almost surely, 2^53658385200 is an apocalyptic number.

53658385200 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 53658385200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116862520320).

53658385200 is an abundant number, since it is smaller than the sum of its proper divisors (180066655440).

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

53658385200 is a wasteful number, since it uses less digits than its factorization.

53658385200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4696 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 53658385200 in words is "fifty-three billion, six hundred fifty-eight million, three hundred eighty-five thousand, two hundred".