541672632776520 has 768 divisors, whose sum is σ = 2038194159206400. Its totient is φ = 122205326745600.

The previous prime is 541672632776491. The next prime is 541672632776531. The reversal of 541672632776520 is 25677236276145.

541672632776520 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 7 + 2 + 6 + 32 + 7 + 76 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146358450670 + ... + 146358454370.

It is an arithmetic number, because the mean of its divisors is an integer number (2653898644800).

Almost surely, 2^{541672632776520} 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 541672632776520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019097079603200).

541672632776520 is an abundant number, since it is smaller than the sum of its proper divisors (1496521526429880).

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

541672632776520 is a wasteful number, since it uses less digits than its factorization.

541672632776520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6078 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 63.

The spelling of 541672632776520 in words is "five hundred forty-one trillion, six hundred seventy-two billion, six hundred thirty-two million, seven hundred seventy-six thousand, five hundred twenty".