541533353856 has 256 divisors, whose sum is σ = 1684940382720. Its totient is φ = 152271257600.

The previous prime is 541533353827. The next prime is 541533353909. The reversal of 541533353856 is 658353335145.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 541533353799 and 541533353808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5045260 + ... + 5151476.

It is an arithmetic number, because the mean of its divisors is an integer number (6581798370).

Almost surely, 2^541533353856 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 541533353856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842470191360).

541533353856 is an abundant number, since it is smaller than the sum of its proper divisors (1143407028864).

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

541533353856 is a wasteful number, since it uses less digits than its factorization.

541533353856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106333 (or 106321 counting only the distinct ones).

The product of its digits is 9720000, while the sum is 51.

The spelling of 541533353856 in words is "five hundred forty-one billion, five hundred thirty-three million, three hundred fifty-three thousand, eight hundred fifty-six".