540212516415 has 48 divisors (see below), whose sum is σ = 1100069137440. Its totient is φ = 241773431040.

The previous prime is 540212516383. The next prime is 540212516419. The reversal of 540212516415 is 514615212045.

540212516415 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 1 + 2 + 5 + 1 + 641 + 5 = 666.

It is not a de Polignac number, because 540212516415 - 2⁵ = 540212516383 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 540212516415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540212516419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41968120 + ... + 41980989.

It is an arithmetic number, because the mean of its divisors is an integer number (22918107030).

Almost surely, 2^540212516415 is an apocalyptic number.

540212516415 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

540212516415 is an abundant number, since it is smaller than the sum of its proper divisors (559856621025).

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

540212516415 is a wasteful number, since it uses less digits than its factorization.

540212516415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83949144 (or 83949141 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 540212516415 in words is "five hundred forty billion, two hundred twelve million, five hundred sixteen thousand, four hundred fifteen".