216501759442080 has 5184 divisors, whose sum is σ = 1024906726247040. Its totient is φ = 42764259557376.

The previous prime is 216501759442051. The next prime is 216501759442103. The reversal of 216501759442080 is 80244957105612.

216501759442080 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 0 + 1 + 7 + 594 + 42 + 0 + 8 + 0 = 666.

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 863 ways as a sum of consecutive naturals, for example, 842419297312 + ... + 842419297568.

It is an arithmetic number, because the mean of its divisors is an integer number (197705772810).

Almost surely, 2^{216501759442080} is an apocalyptic number.

216501759442080 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 216501759442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512453363123520).

216501759442080 is an abundant number, since it is smaller than the sum of its proper divisors (808404966804960).

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

216501759442080 is a wasteful number, since it uses less digits than its factorization.

216501759442080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 216501759442080 in words is "two hundred sixteen trillion, five hundred one billion, seven hundred fifty-nine million, four hundred forty-two thousand, eighty".