50102431200 has 288 divisors, whose sum is σ = 181458385920. Its totient is φ = 13341888000.

The previous prime is 50102431199. The next prime is 50102431207. The reversal of 50102431200 is 213420105.

50102431200 is a `hidden beast` number, since 501 + 0 + 2 + 43 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×50102431200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50102431207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22700497 + ... + 22702703.

It is an arithmetic number, because the mean of its divisors is an integer number (630063840).

Almost surely, 2^50102431200 is an apocalyptic number.

50102431200 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 50102431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90729192960).

50102431200 is an abundant number, since it is smaller than the sum of its proper divisors (131355954720).

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

50102431200 is a wasteful number, since it uses less digits than its factorization.

50102431200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 50102431200 its reverse (213420105), we get a palindrome (50315851305).

The spelling of 50102431200 in words is "fifty billion, one hundred two million, four hundred thirty-one thousand, two hundred".