54541643023350 has 576 divisors, whose sum is σ = 183537434995200. Its totient is φ = 11322368225280.

The previous prime is 54541643023213. The next prime is 54541643023369. The reversal of 54541643023350 is 5332034614545.

54541643023350 is a `hidden beast` number, since 5 + 4 + 5 + 4 + 1 + 6 + 4 + 302 + 335 + 0 = 666.

It is a super-3 number, since 3×54541643023350³ (a number of 42 digits) contains 333 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54541643023296 and 54541643023305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3073279177 + ... + 3073296923.

It is an arithmetic number, because the mean of its divisors is an integer number (318641380200).

Almost surely, 2^{54541643023350} is an apocalyptic number.

54541643023350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54541643023350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91768717497600).

54541643023350 is an abundant number, since it is smaller than the sum of its proper divisors (128995791971850).

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

54541643023350 is a wasteful number, since it uses less digits than its factorization.

54541643023350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19797 (or 19789 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

Adding to 54541643023350 its reverse (5332034614545), we get a palindrome (59873677637895).

The spelling of 54541643023350 in words is "fifty-four trillion, five hundred forty-one billion, six hundred forty-three million, twenty-three thousand, three hundred fifty".