541068877105920 has 1008 divisors, whose sum is σ = 1960870144312800. Its totient is φ = 142974933663744.

The previous prime is 541068877105907. The next prime is 541068877105949. The reversal of 541068877105920 is 29501778860145.

541068877105920 is a `hidden beast` number, since 5 + 410 + 6 + 8 + 87 + 71 + 0 + 59 + 20 = 666.

It is a super-2 number, since 2×541068877105920² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53082392344 + ... + 53082402536.

It is an arithmetic number, because the mean of its divisors is an integer number (1945307682850).

Almost surely, 2^{541068877105920} 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 541068877105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980435072156400).

541068877105920 is an abundant number, since it is smaller than the sum of its proper divisors (1419801267206880).

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

541068877105920 is a wasteful number, since it uses less digits than its factorization.

541068877105920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744 (or 10715 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 541068877105920 in words is "five hundred forty-one trillion, sixty-eight billion, eight hundred seventy-seven million, one hundred five thousand, nine hundred twenty".