50166864000 has 1792 divisors, whose sum is σ = 225397935360. Its totient is φ = 10948608000.

The previous prime is 50166863987. The next prime is 50166864001. The reversal of 50166864000 is 46866105.

50166864000 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 6 + 8 + 640 + 0 + 0 = 666.

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 (50166864001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2181167989 + ... + 2181168011.

Almost surely, 2^50166864000 is an apocalyptic number.

50166864000 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 50166864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698967680).

50166864000 is an abundant number, since it is smaller than the sum of its proper divisors (175231071360).

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

50166864000 is a wasteful number, since it uses less digits than its factorization.

50166864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 50166864000 in words is "fifty billion, one hundred sixty-six million, eight hundred sixty-four thousand".