541705523072 has 128 divisors (see below), whose sum is σ = 1274801940480. Its totient is φ = 224375961600.

The previous prime is 541705523059. The next prime is 541705523083. The reversal of 541705523072 is 270325507145.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×541705523072⁴ (a number of 48 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21847322 + ... + 21872102.

It is an arithmetic number, because the mean of its divisors is an integer number (9959390160).

Almost surely, 2^541705523072 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 541705523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637400970240).

541705523072 is an abundant number, since it is smaller than the sum of its proper divisors (733096417408).

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

541705523072 is a wasteful number, since it uses less digits than its factorization.

541705523072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25620 (or 25608 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 41.

The spelling of 541705523072 in words is "five hundred forty-one billion, seven hundred five million, five hundred twenty-three thousand, seventy-two".