214720608267200 has 336 divisors, whose sum is σ = 604678402105344. Its totient is φ = 73514534092800.

The previous prime is 214720608267157. The next prime is 214720608267287. The reversal of 214720608267200 is 2762806027412.

It is a super-2 number, since 2×214720608267200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27788349737 + ... + 27788357463.

It is an arithmetic number, because the mean of its divisors is an integer number (1799638101504).

Almost surely, 2^{214720608267200} is an apocalyptic number.

214720608267200 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 214720608267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302339201052672).

214720608267200 is an abundant number, since it is smaller than the sum of its proper divisors (389957793838144).

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

214720608267200 is a wasteful number, since it uses less digits than its factorization.

214720608267200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10940 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The spelling of 214720608267200 in words is "two hundred fourteen trillion, seven hundred twenty billion, six hundred eight million, two hundred sixty-seven thousand, two hundred".