50205914881920 has 512 divisors, whose sum is σ = 205309459353600. Its totient is φ = 11357329489920.

The previous prime is 50205914881891. The next prime is 50205914881999. The reversal of 50205914881920 is 2918841950205.

50205914881920 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 591 + 48 + 8 + 1 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×50205914881920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9593625 + ... + 13872615.

It is an arithmetic number, because the mean of its divisors is an integer number (400995037800).

Almost surely, 2^{50205914881920} 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 50205914881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102654729676800).

50205914881920 is an abundant number, since it is smaller than the sum of its proper divisors (155103544471680).

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

50205914881920 is a wasteful number, since it uses less digits than its factorization.

50205914881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4279123 (or 4279105 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 50205914881920 in words is "fifty trillion, two hundred five billion, nine hundred fourteen million, eight hundred eighty-one thousand, nine hundred twenty".