50463907200 has 1152 divisors, whose sum is σ = 218039377920. Its totient is φ = 11287019520.

The previous prime is 50463907189. The next prime is 50463907201. The reversal of 50463907200 is 270936405.

50463907200 is a `hidden beast` number, since 504 + 63 + 90 + 7 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50463907201) 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 143 ways as a sum of consecutive naturals, for example, 397353537 + ... + 397353663.

Almost surely, 2^50463907200 is an apocalyptic number.

50463907200 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 50463907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109019688960).

50463907200 is an abundant number, since it is smaller than the sum of its proper divisors (167575470720).

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

50463907200 is a wasteful number, since it uses less digits than its factorization.

50463907200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 50463907200 in words is "fifty billion, four hundred sixty-three million, nine hundred seven thousand, two hundred".