53850993916200 has 192 divisors, whose sum is σ = 180219041284800. Its totient is φ = 13223218636800.

The previous prime is 53850993916183. The next prime is 53850993916249. The reversal of 53850993916200 is 261939905835.

53850993916200 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5249866 + ... + 11630265.

It is an arithmetic number, because the mean of its divisors is an integer number (938640840025).

Almost surely, 2^{53850993916200} is an apocalyptic number.

53850993916200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53850993916200 is an abundant number, since it is smaller than the sum of its proper divisors (126368047368600).

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

53850993916200 is a wasteful number, since it uses less digits than its factorization.

53850993916200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16880572 (or 16880563 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 60.

The spelling of 53850993916200 in words is "fifty-three trillion, eight hundred fifty billion, nine hundred ninety-three million, nine hundred sixteen thousand, two hundred".