214158589920 has 576 divisors, whose sum is σ = 838100390400. Its totient is φ = 49291038720.

The previous prime is 214158589913. The next prime is 214158589937. The reversal of 214158589920 is 29985851412.

214158589920 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 58 + 589 + 9 + 2 + 0 = 666.

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, 50638366 + ... + 50642594.

It is an arithmetic number, because the mean of its divisors is an integer number (1455035400).

Almost surely, 2^214158589920 is an apocalyptic number.

214158589920 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 214158589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419050195200).

214158589920 is an abundant number, since it is smaller than the sum of its proper divisors (623941800480).

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

214158589920 is a wasteful number, since it uses less digits than its factorization.

214158589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 214158589920 in words is "two hundred fourteen billion, one hundred fifty-eight million, five hundred eighty-nine thousand, nine hundred twenty".