541688664982920 has 1024 divisors, whose sum is σ = 2066708857651200. Its totient is φ = 111193263267840.

The previous prime is 541688664982867. The next prime is 541688664982943. The reversal of 541688664982920 is 29289466886145.

It is a Harshad number since it is a multiple of its sum of digits (78).

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 255 ways as a sum of consecutive naturals, for example, 27768927807 + ... + 27768947313.

It is an arithmetic number, because the mean of its divisors is an integer number (2018270368800).

Almost surely, 2^{541688664982920} 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 541688664982920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033354428825600).

541688664982920 is an abundant number, since it is smaller than the sum of its proper divisors (1525020192668280).

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

541688664982920 is a wasteful number, since it uses less digits than its factorization.

541688664982920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19975 (or 19945 counting only the distinct ones).

The product of its (nonzero) digits is 2866544640, while the sum is 78.

The spelling of 541688664982920 in words is "five hundred forty-one trillion, six hundred eighty-eight billion, six hundred sixty-four million, nine hundred eighty-two thousand, nine hundred twenty".