55021938669000 has 768 divisors, whose sum is σ = 195880487362560. Its totient is φ = 13903306560000.

The previous prime is 55021938668993. The next prime is 55021938669001. The reversal of 55021938669000 is 96683912055.

It is a happy number.

55021938669000 is a `hidden beast` number, since 5 + 502 + 19 + 38 + 6 + 6 + 90 + 0 + 0 = 666.

55021938669000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55021938669000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55021938669001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19714057605 + ... + 19714060395.

It is an arithmetic number, because the mean of its divisors is an integer number (255052717920).

Almost surely, 2^{55021938669000} is an apocalyptic number.

55021938669000 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 55021938669000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97940243681280).

55021938669000 is an abundant number, since it is smaller than the sum of its proper divisors (140858548693560).

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

55021938669000 is a wasteful number, since it uses less digits than its factorization.

55021938669000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 55021938669000 in words is "fifty-five trillion, twenty-one billion, nine hundred thirty-eight million, six hundred sixty-nine thousand".