216516406536540 has 192 divisors, whose sum is σ = 734854035525120. Its totient is φ = 52488077690880.

The previous prime is 216516406536481. The next prime is 216516406536553. The reversal of 216516406536540 is 45635604615612.

216516406536540 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 6 + 4 + 0 + 65 + 36 + 540 = 666.

It is a super-3 number, since 3×216516406536540³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496467019 + ... + 496902941.

It is an arithmetic number, because the mean of its divisors is an integer number (3827364768360).

Almost surely, 2^{216516406536540} is an apocalyptic number.

216516406536540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216516406536540 is an abundant number, since it is smaller than the sum of its proper divisors (518337628988580).

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

216516406536540 is a wasteful number, since it uses less digits than its factorization.

216516406536540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519569 (or 519561 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 216516406536540 in words is "two hundred sixteen trillion, five hundred sixteen billion, four hundred six million, five hundred thirty-six thousand, five hundred forty".