50420945836800 has 4320 divisors, whose sum is σ = 250002063843840. Its totient is φ = 9704846131200.

The previous prime is 50420945836747. The next prime is 50420945836819. The reversal of 50420945836800 is 863854902405.

50420945836800 is a `hidden beast` number, since 5 + 0 + 420 + 94 + 58 + 3 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 45465234646 + ... + 45465235754.

It is an arithmetic number, because the mean of its divisors is an integer number (57870848112).

Almost surely, 2^{50420945836800} is an apocalyptic number.

50420945836800 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 50420945836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125001031921920).

50420945836800 is an abundant number, since it is smaller than the sum of its proper divisors (199581118007040).

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

50420945836800 is a wasteful number, since it uses less digits than its factorization.

50420945836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 50420945836800 in words is "fifty trillion, four hundred twenty billion, nine hundred forty-five million, eight hundred thirty-six thousand, eight hundred".