541521856512 has 768 divisors, whose sum is σ = 2060577792000. Its totient is φ = 136580235264.

The previous prime is 541521856459. The next prime is 541521856531. The reversal of 541521856512 is 215658125145.

541521856512 is a `hidden beast` number, since 5 + 4 + 1 + 52 + 1 + 85 + 6 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×541521856512² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115732189 + ... + 115736867.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044000).

Almost surely, 2^541521856512 is an apocalyptic number.

541521856512 is a gapful number since it is divisible by the number (52) 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 541521856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896000).

541521856512 is an abundant number, since it is smaller than the sum of its proper divisors (1519055935488).

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

541521856512 is a wasteful number, since it uses less digits than its factorization.

541521856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4753 (or 4727 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The spelling of 541521856512 in words is "five hundred forty-one billion, five hundred twenty-one million, eight hundred fifty-six thousand, five hundred twelve".