214058561960 has 64 divisors (see below), whose sum is σ = 484611379200. Its totient is φ = 85094608896.

The previous prime is 214058561953. The next prime is 214058561963. The reversal of 214058561960 is 69165850412.

214058561960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (214058561963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8007737 + ... + 8034423.

It is an arithmetic number, because the mean of its divisors is an integer number (7572052800).

Almost surely, 2^214058561960 is an apocalyptic number.

214058561960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214058561960 is an abundant number, since it is smaller than the sum of its proper divisors (270552817240).

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

214058561960 is a wasteful number, since it uses less digits than its factorization.

214058561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27930 (or 27926 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 214058561960 in words is "two hundred fourteen billion, fifty-eight million, five hundred sixty-one thousand, nine hundred sixty".