50283050400 has 900 divisors, whose sum is σ = 205514326710. Its totient is φ = 11959833600.

The previous prime is 50283050399. The next prime is 50283050407. The reversal of 50283050400 is 405038205.

50283050400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 41915191824 + 8367858576 = 204732^2 + 91476^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50283050407) by changing a digit.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 948736774 + ... + 948736826.

Almost surely, 2^50283050400 is an apocalyptic number.

50283050400 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 50283050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102757163355).

50283050400 is an abundant number, since it is smaller than the sum of its proper divisors (155231276310).

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

50283050400 is an equidigital number, since it uses as much as digits as its factorization.

50283050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 50283050400 its reverse (405038205), we get a palindrome (50688088605).

The spelling of 50283050400 in words is "fifty billion, two hundred eighty-three million, fifty thousand, four hundred".