214109568582080 has 112 divisors (see below), whose sum is σ = 514824370274016. Its totient is φ = 84808627077120.

The previous prime is 214109568582043. The next prime is 214109568582149. The reversal of 214109568582080 is 80285865901412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82298972 + ... + 84860708.

Almost surely, 2^{214109568582080} is an apocalyptic number.

214109568582080 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 214109568582080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257412185137008).

214109568582080 is an abundant number, since it is smaller than the sum of its proper divisors (300714801691936).

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

214109568582080 is a wasteful number, since it uses less digits than its factorization.

214109568582080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2564302 (or 2564292 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 59.

The spelling of 214109568582080 in words is "two hundred fourteen trillion, one hundred nine billion, five hundred sixty-eight million, five hundred eighty-two thousand, eighty".