541858121856 has 512 divisors, whose sum is σ = 1725105600000. Its totient is φ = 166834077696.

The previous prime is 541858121851. The next prime is 541858121863. The reversal of 541858121856 is 658121858145.

It is a happy number.

541858121856 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 581 + 2 + 1 + 8 + 56 = 666.

It is a super-2 number, since 2×541858121856² (a number of 24 digits) contains 22 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (541858121851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904604245 + ... + 904604843.

It is an arithmetic number, because the mean of its divisors is an integer number (3369346875).

Almost surely, 2^541858121856 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 541858121856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862552800000).

541858121856 is an abundant number, since it is smaller than the sum of its proper divisors (1183247478144).

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

541858121856 is a wasteful number, since it uses less digits than its factorization.

541858121856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 883 counting only the distinct ones).

The product of its digits is 3072000, while the sum is 54.

The spelling of 541858121856 in words is "five hundred forty-one billion, eight hundred fifty-eight million, one hundred twenty-one thousand, eight hundred fifty-six".