541876321896 has 256 divisors, whose sum is σ = 1713141480960. Its totient is φ = 139005296640.

The previous prime is 541876321871. The next prime is 541876321907. The reversal of 541876321896 is 698123678145.

It is a happy number.

It is a super-3 number, since 3×541876321896³ (a number of 36 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

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, 30167350 + ... + 30185306.

It is an arithmetic number, because the mean of its divisors is an integer number (6691958910).

Almost surely, 2^541876321896 is an apocalyptic number.

541876321896 is a gapful number since it is divisible by the number (56) 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 541876321896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856570740480).

541876321896 is an abundant number, since it is smaller than the sum of its proper divisors (1171265159064).

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

541876321896 is a wasteful number, since it uses less digits than its factorization.

541876321896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18364 (or 18360 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The spelling of 541876321896 in words is "five hundred forty-one billion, eight hundred seventy-six million, three hundred twenty-one thousand, eight hundred ninety-six".