541475089968 has 160 divisors (see below), whose sum is σ = 1465866035712. Its totient is φ = 171908352000.

The previous prime is 541475089927. The next prime is 541475090053. The reversal of 541475089968 is 869980574145.

It is a junction number, because it is equal to n+sod(n) for n = 541475089899 and 541475089908.

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 31 ways as a sum of consecutive naturals, for example, 353673363 + ... + 353674893.

Almost surely, 2^541475089968 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 541475089968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732933017856).

541475089968 is an abundant number, since it is smaller than the sum of its proper divisors (924390945744).

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

541475089968 is a wasteful number, since it uses less digits than its factorization.

541475089968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723 (or 2717 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 66.

The spelling of 541475089968 in words is "five hundred forty-one billion, four hundred seventy-five million, eighty-nine thousand, nine hundred sixty-eight".