541993954590 has 640 divisors, whose sum is σ = 1764744537600. Its totient is φ = 117860520960.

The previous prime is 541993954529. The next prime is 541993954669. The reversal of 541993954590 is 95459399145.

541993954590 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 9 + 39 + 5 + 4 + 590 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 260197689 + ... + 260199771.

It is an arithmetic number, because the mean of its divisors is an integer number (2757413340).

Almost surely, 2^541993954590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541993954590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882372268800).

541993954590 is an abundant number, since it is smaller than the sum of its proper divisors (1222750583010).

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

541993954590 is a wasteful number, since it uses less digits than its factorization.

541993954590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2214 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 39366000, while the sum is 63.

The spelling of 541993954590 in words is "five hundred forty-one billion, nine hundred ninety-three million, nine hundred fifty-four thousand, five hundred ninety".