216871049134080 has 1280 divisors, whose sum is σ = 867944386584000. Its totient is φ = 51350643671040.

The previous prime is 216871049134039. The next prime is 216871049134109. The reversal of 216871049134080 is 80431940178612.

216871049134080 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 71 + 0 + 491 + 3 + 4 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6277184646 + ... + 6277219194.

Almost surely, 2^{216871049134080} is an apocalyptic number.

216871049134080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216871049134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433972193292000).

216871049134080 is an abundant number, since it is smaller than the sum of its proper divisors (651073337449920).

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

216871049134080 is an equidigital number, since it uses as much as digits as its factorization.

216871049134080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34650 (or 34613 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 216871049134080 in words is "two hundred sixteen trillion, eight hundred seventy-one billion, forty-nine million, one hundred thirty-four thousand, eighty".