540169209216 has 1024 divisors, whose sum is σ = 2087576064000. Its totient is φ = 133602213888.

The previous prime is 540169209211. The next prime is 540169209247. The reversal of 540169209216 is 612902961045.

540169209216 is a `hidden beast` number, since 5 + 401 + 6 + 9 + 20 + 9 + 216 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540169209211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 383369920 + ... + 383371328.

It is an arithmetic number, because the mean of its divisors is an integer number (2038648500).

Almost surely, 2^540169209216 is an apocalyptic number.

540169209216 is a gapful number since it is divisible by the number (56) 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 540169209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043788032000).

540169209216 is an abundant number, since it is smaller than the sum of its proper divisors (1547406854784).

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

540169209216 is a wasteful number, since it uses less digits than its factorization.

540169209216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 540169209216 in words is "five hundred forty billion, one hundred sixty-nine million, two hundred nine thousand, two hundred sixteen".