50000416128 has 480 divisors, whose sum is σ = 168540870960. Its totient is φ = 14599968768.

The previous prime is 50000416121. The next prime is 50000416153. The reversal of 50000416128 is 82161400005.

50000416128 is a `hidden beast` number, since 5 + 0 + 0 + 0 + 0 + 41 + 612 + 8 = 666.

It is a super-2 number, since 2×50000416128² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50000416121) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 393704001 + ... + 393704127.

Almost surely, 2^50000416128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50000416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84270435480).

50000416128 is an abundant number, since it is smaller than the sum of its proper divisors (118540454832).

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

50000416128 is a wasteful number, since it uses less digits than its factorization.

50000416128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 50000416128 in words is "fifty billion, four hundred sixteen thousand, one hundred twenty-eight".