541054829952 has 512 divisors, whose sum is σ = 2011126656000. Its totient is φ = 139373789184.

The previous prime is 541054829869. The next prime is 541054829969. The reversal of 541054829952 is 259928450145.

541054829952 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 548 + 2 + 9 + 95 + 2 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13503324 + ... + 13543332.

It is an arithmetic number, because the mean of its divisors is an integer number (3927981750).

Almost surely, 2^541054829952 is an apocalyptic number.

541054829952 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 541054829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005563328000).

541054829952 is an abundant number, since it is smaller than the sum of its proper divisors (1470071826048).

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

541054829952 is a wasteful number, since it uses less digits than its factorization.

541054829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40095 (or 40077 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 541054829952 in words is "five hundred forty-one billion, fifty-four million, eight hundred twenty-nine thousand, nine hundred fifty-two".