540811689200 has 60 divisors (see below), whose sum is σ = 1299656976600. Its totient is φ = 216265255680.

The previous prime is 540811689199. The next prime is 540811689241. The reversal of 540811689200 is 2986118045.

It is a Cunningham number, because it is equal to 735399²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1286951 + ... + 1654649.

It is an arithmetic number, because the mean of its divisors is an integer number (21660949610).

Almost surely, 2^540811689200 is an apocalyptic number.

540811689200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

540811689200 is an abundant number, since it is smaller than the sum of its proper divisors (758845287400).

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

540811689200 is a wasteful number, since it uses less digits than its factorization.

540811689200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371394 (or 371383 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 540811689200 in words is "five hundred forty billion, eight hundred eleven million, six hundred eighty-nine thousand, two hundred".