540579916800 has 1584 divisors, whose sum is σ = 2520938471040. Its totient is φ = 112250880000.

The previous prime is 540579916783. The next prime is 540579916813. The reversal of 540579916800 is 8619975045.

540579916800 is a `hidden beast` number, since 5 + 4 + 0 + 579 + 9 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 372556075 + ... + 372557525.

It is an arithmetic number, because the mean of its divisors is an integer number (1591501560).

Almost surely, 2^540579916800 is an apocalyptic number.

540579916800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540579916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260469235520).

540579916800 is an abundant number, since it is smaller than the sum of its proper divisors (1980358554240).

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

540579916800 is a wasteful number, since it uses less digits than its factorization.

540579916800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 540579916800 in words is "five hundred forty billion, five hundred seventy-nine million, nine hundred sixteen thousand, eight hundred".