216517355127 has 20 divisors (see below), whose sum is σ = 337502095920. Its totient is φ = 138069036864.

The previous prime is 216517355113. The next prime is 216517355137. The reversal of 216517355127 is 721553715612.

216517355127 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 73 + 551 + 27 = 666.

It is not a de Polignac number, because 216517355127 - 2¹⁶ = 216517289591 is a prime.

It is a super-2 number, since 2×216517355127² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216517355137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58108002 + ... + 58111727.

It is an arithmetic number, because the mean of its divisors is an integer number (16875104796).

Almost surely, 2^216517355127 is an apocalyptic number.

216517355127 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216517355127 is a deficient number, since it is larger than the sum of its proper divisors (120984740793).

216517355127 is a wasteful number, since it uses less digits than its factorization.

216517355127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116219764 (or 116219755 counting only the distinct ones).

The product of its digits is 441000, while the sum is 45.

The spelling of 216517355127 in words is "two hundred sixteen billion, five hundred seventeen million, three hundred fifty-five thousand, one hundred twenty-seven".