541546878852 has 288 divisors, whose sum is σ = 1749959527680. Its totient is φ = 137464750080.

The previous prime is 541546878841. The next prime is 541546878863. The reversal of 541546878852 is 258878645145.

541546878852 is a `hidden beast` number, since 5 + 4 + 1 + 546 + 8 + 7 + 8 + 85 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (541546878841) and next prime (541546878863).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 541546878852.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22860438 + ... + 22884114.

It is an arithmetic number, because the mean of its divisors is an integer number (6076248360).

Almost surely, 2^541546878852 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 541546878852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874979763840).

541546878852 is an abundant number, since it is smaller than the sum of its proper divisors (1208412648828).

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

541546878852 is a wasteful number, since it uses less digits than its factorization.

541546878852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24011 (or 24006 counting only the distinct ones).

The product of its digits is 86016000, while the sum is 63.

The spelling of 541546878852 in words is "five hundred forty-one billion, five hundred forty-six million, eight hundred seventy-eight thousand, eight hundred fifty-two".