53963417600 has 288 divisors, whose sum is σ = 138701122560. Its totient is φ = 20808990720.

The previous prime is 53963417569. The next prime is 53963417609. The reversal of 53963417600 is 671436935.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (53963417609) 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 23 ways as a sum of consecutive naturals, for example, 279603104 + ... + 279603296.

It is an arithmetic number, because the mean of its divisors is an integer number (481601120).

Almost surely, 2^53963417600 is an apocalyptic number.

53963417600 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 53963417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69350561280).

53963417600 is an abundant number, since it is smaller than the sum of its proper divisors (84737704960).

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

53963417600 is a wasteful number, since it uses less digits than its factorization.

53963417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 44.

The spelling of 53963417600 in words is "fifty-three billion, nine hundred sixty-three million, four hundred seventeen thousand, six hundred".