50505376824 has 384 divisors, whose sum is σ = 171383040000. Its totient is φ = 13722670080.

The previous prime is 50505376799. The next prime is 50505376843. The reversal of 50505376824 is 42867350505.

50505376824 is a `hidden beast` number, since 5 + 0 + 50 + 537 + 68 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 50505376824.

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, 19356832 + ... + 19359440.

It is an arithmetic number, because the mean of its divisors is an integer number (446310000).

Almost surely, 2^50505376824 is an apocalyptic number.

50505376824 is a gapful number since it is divisible by the number (54) 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 50505376824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85691520000).

50505376824 is an abundant number, since it is smaller than the sum of its proper divisors (120877663176).

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

50505376824 is a wasteful number, since it uses less digits than its factorization.

50505376824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 50505376824 in words is "fifty billion, five hundred five million, three hundred seventy-six thousand, eight hundred twenty-four".