50200264800 has 648 divisors, whose sum is σ = 216786515400. Its totient is φ = 10868981760.

The previous prime is 50200264799. The next prime is 50200264813. The reversal of 50200264800 is 846200205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6699456 + ... + 6706944.

Almost surely, 2^50200264800 is an apocalyptic number.

50200264800 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 50200264800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108393257700).

50200264800 is an abundant number, since it is smaller than the sum of its proper divisors (166586250600).

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

50200264800 is a wasteful number, since it uses less digits than its factorization.

50200264800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7525 counting only the distinct ones).

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

It can be divided in two parts, 502002 and 64800, that multiplied together give a square (32529729600 = 180360²).

The spelling of 50200264800 in words is "fifty billion, two hundred million, two hundred sixty-four thousand, eight hundred".