540921628800 has 1920 divisors, whose sum is σ = 2409474355200. Its totient is φ = 116901273600.

The previous prime is 540921628781. The next prime is 540921628889. The reversal of 540921628800 is 8826129045.

540921628800 is a `hidden beast` number, since 5 + 409 + 2 + 162 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3318537519 + ... + 3318537681.

It is an arithmetic number, because the mean of its divisors is an integer number (1254934560).

Almost surely, 2^540921628800 is an apocalyptic number.

540921628800 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 540921628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204737177600).

540921628800 is an abundant number, since it is smaller than the sum of its proper divisors (1868552726400).

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

540921628800 is a wasteful number, since it uses less digits than its factorization.

540921628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 540921628800 in words is "five hundred forty billion, nine hundred twenty-one million, six hundred twenty-eight thousand, eight hundred".