50121950860800 has 4800 divisors, whose sum is σ = 237648149544960. Its totient is φ = 10153301114880.

The previous prime is 50121950860769. The next prime is 50121950860843. The reversal of 50121950860800 is 806805912105.

It is a happy number.

50121950860800 is a `hidden beast` number, since 5 + 0 + 1 + 2 + 1 + 9 + 508 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

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, 394661030337 + ... + 394661030463.

Almost surely, 2^{50121950860800} is an apocalyptic number.

50121950860800 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 50121950860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118824074772480).

50121950860800 is an abundant number, since it is smaller than the sum of its proper divisors (187526198684160).

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

50121950860800 is a wasteful number, since it uses less digits than its factorization.

50121950860800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 50121950860800 in words is "fifty trillion, one hundred twenty-one billion, nine hundred fifty million, eight hundred sixty thousand, eight hundred".