214188059129550 has 192 divisors, whose sum is σ = 588502084884480. Its totient is φ = 51120602368000.

The previous prime is 214188059129509. The next prime is 214188059129579. The reversal of 214188059129550 is 55921950881412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31086115 + ... + 37345985.

It is an arithmetic number, because the mean of its divisors is an integer number (3065115025440).

Almost surely, 2^{214188059129550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214188059129550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294251042442240).

214188059129550 is an abundant number, since it is smaller than the sum of its proper divisors (374314025754930).

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

214188059129550 is a wasteful number, since it uses less digits than its factorization.

214188059129550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6260219 (or 6260214 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 60.

The spelling of 214188059129550 in words is "two hundred fourteen trillion, one hundred eighty-eight billion, fifty-nine million, one hundred twenty-nine thousand, five hundred fifty".