50948352000 has 1536 divisors, whose sum is σ = 234676915200. Its totient is φ = 10749542400.

The previous prime is 50948351989. The next prime is 50948352031. The reversal of 50948352000 is 25384905.

50948352000 is a `hidden beast` number, since 50 + 9 + 4 + 83 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3919103994 + ... + 3919104006.

It is an arithmetic number, because the mean of its divisors is an integer number (152784450).

Almost surely, 2^50948352000 is an apocalyptic number.

50948352000 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 50948352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117338457600).

50948352000 is an abundant number, since it is smaller than the sum of its proper divisors (183728563200).

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

50948352000 is an frugal number, since it uses more digits than its factorization.

50948352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 50948352000 in words is "fifty billion, nine hundred forty-eight million, three hundred fifty-two thousand".