541855598832 has 240 divisors, whose sum is σ = 1628145792000. Its totient is φ = 167700948480.

The previous prime is 541855598827. The next prime is 541855598839. The reversal of 541855598832 is 238895558145.

541855598832 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 5 + 5 + 598 + 8 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 541855598832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541855598839) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202864857 + ... + 202867527.

It is an arithmetic number, because the mean of its divisors is an integer number (6783940800).

Almost surely, 2^541855598832 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 541855598832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814072896000).

541855598832 is an abundant number, since it is smaller than the sum of its proper divisors (1086290193168).

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

541855598832 is a wasteful number, since it uses less digits than its factorization.

541855598832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4147 counting only the distinct ones).

The product of its digits is 69120000, while the sum is 63.

The spelling of 541855598832 in words is "five hundred forty-one billion, eight hundred fifty-five million, five hundred ninety-eight thousand, eight hundred thirty-two".