540382851288 has 96 divisors (see below), whose sum is σ = 1672719759360. Its totient is φ = 154385300160.

The previous prime is 540382851259. The next prime is 540382851289. The reversal of 540382851288 is 882158283045.

540382851288 is a `hidden beast` number, since 5 + 40 + 3 + 8 + 2 + 8 + 512 + 88 = 666.

It is a super-2 number, since 2×540382851288² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540382851289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12460923 + ... + 12504213.

It is an arithmetic number, because the mean of its divisors is an integer number (17424164160).

Almost surely, 2^540382851288 is an apocalyptic number.

It is an amenable number.

540382851288 is an abundant number, since it is smaller than the sum of its proper divisors (1132336908072).

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

540382851288 is a wasteful number, since it uses less digits than its factorization.

540382851288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68077 (or 68070 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 540382851288 in words is "five hundred forty billion, three hundred eighty-two million, eight hundred fifty-one thousand, two hundred eighty-eight".