50168518400 has 864 divisors, whose sum is σ = 171685011456. Its totient is φ = 14008320000.

The previous prime is 50168518399. The next prime is 50168518529. The reversal of 50168518400 is 481586105.

It is a super-2 number, since 2×50168518400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262662305 + ... + 262662495.

It is an arithmetic number, because the mean of its divisors is an integer number (198709504).

Almost surely, 2^50168518400 is an apocalyptic number.

50168518400 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 50168518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85842505728).

50168518400 is an abundant number, since it is smaller than the sum of its proper divisors (121516493056).

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

50168518400 is a wasteful number, since it uses less digits than its factorization.

50168518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 38.

The spelling of 50168518400 in words is "fifty billion, one hundred sixty-eight million, five hundred eighteen thousand, four hundred".