540321125760 has 192 divisors, whose sum is σ = 2009319464880. Its totient is φ = 133002104832.

The previous prime is 540321125741. The next prime is 540321125777. The reversal of 540321125760 is 67521123045.

540321125760 is a `hidden beast` number, since 5 + 40 + 32 + 1 + 12 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3533034 + ... + 3682793.

Almost surely, 2^540321125760 is an apocalyptic number.

It is an amenable number.

540321125760 is an abundant number, since it is smaller than the sum of its proper divisors (1468998339120).

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

540321125760 is a wasteful number, since it uses less digits than its factorization.

540321125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7215865 (or 7215850 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 540321125760 in words is "five hundred forty billion, three hundred twenty-one million, one hundred twenty-five thousand, seven hundred sixty".