540762784800001 has 8 divisors (see below), whose sum is σ = 564280454574144. Its totient is φ = 517245635388240.

The previous prime is 540762784799987. The next prime is 540762784800053. The reversal of 540762784800001 is 100008487267045.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 540762784800001 - 2¹³ = 540762784791809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (540762784800061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127966255 + ... + 132124516.

It is an arithmetic number, because the mean of its divisors is an integer number (70535056821768).

Almost surely, 2^{540762784800001} is an apocalyptic number.

It is an amenable number.

540762784800001 is a deficient number, since it is larger than the sum of its proper divisors (23517669774143).

540762784800001 is a wasteful number, since it uses less digits than its factorization.

540762784800001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260181191.

The product of its (nonzero) digits is 3010560, while the sum is 52.

The spelling of 540762784800001 in words is "five hundred forty trillion, seven hundred sixty-two billion, seven hundred eighty-four million, eight hundred thousand, one".