541085571072 has 384 divisors, whose sum is σ = 1634592960000. Its totient is φ = 176825991168.

The previous prime is 541085571071. The next prime is 541085571121. The reversal of 541085571072 is 270175580145.

541085571072 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 8 + 5 + 571 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541085571071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644916829 + ... + 644917667.

It is an arithmetic number, because the mean of its divisors is an integer number (4256752500).

Almost surely, 2^541085571072 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 541085571072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817296480000).

541085571072 is an abundant number, since it is smaller than the sum of its proper divisors (1093507388928).

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

541085571072 is a wasteful number, since it uses less digits than its factorization.

541085571072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 541085571072 in words is "five hundred forty-one billion, eighty-five million, five hundred seventy-one thousand, seventy-two".