50982954624 has 384 divisors, whose sum is σ = 171085824000. Its totient is φ = 14272727040.

The previous prime is 50982954571. The next prime is 50982954637. The reversal of 50982954624 is 42645928905.

50982954624 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 2 + 9 + 5 + 4 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 121677487 + ... + 121677905.

It is an arithmetic number, because the mean of its divisors is an integer number (445536000).

Almost surely, 2^50982954624 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 50982954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85542912000).

50982954624 is an abundant number, since it is smaller than the sum of its proper divisors (120102869376).

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

50982954624 is a wasteful number, since it uses less digits than its factorization.

50982954624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

It can be divided in two parts, 509829 and 54624, that added together give a triangular number (564453 = T₁₀₆₂).

The spelling of 50982954624 in words is "fifty billion, nine hundred eighty-two million, nine hundred fifty-four thousand, six hundred twenty-four".