214829932385520 has 480 divisors, whose sum is σ = 732993411758400. Its totient is φ = 56380520448000.

The previous prime is 214829932385483. The next prime is 214829932385531. The reversal of 214829932385520 is 25583239928412.

It is a happy number.

214829932385520 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 2 + 9 + 9 + 3 + 23 + 85 + 520 = 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, 12720101236 + ... + 12720118124.

It is an arithmetic number, because the mean of its divisors is an integer number (1527069607830).

Almost surely, 2^{214829932385520} is an apocalyptic number.

214829932385520 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 214829932385520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366496705879200).

214829932385520 is an abundant number, since it is smaller than the sum of its proper divisors (518163479372880).

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

214829932385520 is a wasteful number, since it uses less digits than its factorization.

214829932385520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18049 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 214829932385520 in words is "two hundred fourteen trillion, eight hundred twenty-nine billion, nine hundred thirty-two million, three hundred eighty-five thousand, five hundred twenty".