541795962576960 has 3136 divisors, whose sum is σ = 2407849560281088. Its totient is φ = 113019828830208.

The previous prime is 541795962576943. The next prime is 541795962577019. The reversal of 541795962576960 is 69675269597145.

541795962576960 is a `hidden beast` number, since 5 + 4 + 17 + 9 + 596 + 2 + 5 + 7 + 6 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 541795962576960.

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 447 ways as a sum of consecutive naturals, for example, 913652550424 + ... + 913652551016.

It is an arithmetic number, because the mean of its divisors is an integer number (767809171008).

Almost surely, 2^{541795962576960} 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 541795962576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203924780140544).

541795962576960 is an abundant number, since it is smaller than the sum of its proper divisors (1866053597704128).

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

541795962576960 is a wasteful number, since it uses less digits than its factorization.

541795962576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 7715736000, while the sum is 81.

The spelling of 541795962576960 in words is "five hundred forty-one trillion, seven hundred ninety-five billion, nine hundred sixty-two million, five hundred seventy-six thousand, nine hundred sixty".