50408394624000 has 1056 divisors, whose sum is σ = 209508615888000. Its totient is φ = 11416014028800.

The previous prime is 50408394623929. The next prime is 50408394624079. The reversal of 50408394624000 is 42649380405.

50408394624000 is a `hidden beast` number, since 504 + 0 + 83 + 9 + 4 + 62 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 878947326 + ... + 879004674.

It is an arithmetic number, because the mean of its divisors is an integer number (198398310500).

Almost surely, 2^{50408394624000} is an apocalyptic number.

50408394624000 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 50408394624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104754307944000).

50408394624000 is an abundant number, since it is smaller than the sum of its proper divisors (159100221264000).

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

50408394624000 is a wasteful number, since it uses less digits than its factorization.

50408394624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57506 (or 57475 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 50408394624000 in words is "fifty trillion, four hundred eight billion, three hundred ninety-four million, six hundred twenty-four thousand".