545940984960 has 512 divisors, whose sum is σ = 2237082278400. Its totient is φ = 124784271360.

The previous prime is 545940984959. The next prime is 545940984997. The reversal of 545940984960 is 69489049545.

545940984960 is a `hidden beast` number, since 5 + 4 + 59 + 4 + 0 + 98 + 496 + 0 = 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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9769900 + ... + 9825620.

It is an arithmetic number, because the mean of its divisors is an integer number (4369301325).

Almost surely, 2^545940984960 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 545940984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118541139200).

545940984960 is an abundant number, since it is smaller than the sum of its proper divisors (1691141293440).

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

545940984960 is an frugal number, since it uses more digits than its factorization.

545940984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55768 (or 55738 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 545940984960 in words is "five hundred forty-five billion, nine hundred forty million, nine hundred eighty-four thousand, nine hundred sixty".