540357677856 has 96 divisors (see below), whose sum is σ = 1599566431680. Its totient is φ = 177430860288.

The previous prime is 540357677851. The next prime is 540357677857. The reversal of 540357677856 is 658776753045.

It is a happy number.

540357677856 is a `hidden beast` number, since 5 + 4 + 0 + 3 + 576 + 7 + 7 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×540357677856³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540357677793 and 540357677802.

It is not an unprimeable number, because it can be changed into a prime (540357677851) 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 15 ways as a sum of consecutive naturals, for example, 4609381 + ... + 4725156.

It is an arithmetic number, because the mean of its divisors is an integer number (16662150330).

Almost surely, 2^540357677856 is an apocalyptic number.

It is an amenable number.

540357677856 is an abundant number, since it is smaller than the sum of its proper divisors (1059208753824).

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

540357677856 is a wasteful number, since it uses less digits than its factorization.

540357677856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334623 (or 9334609 counting only the distinct ones).

The product of its (nonzero) digits is 148176000, while the sum is 63.

The spelling of 540357677856 in words is "five hundred forty billion, three hundred fifty-seven million, six hundred seventy-seven thousand, eight hundred fifty-six".