213958829760 has 448 divisors, whose sum is σ = 771755550720. Its totient is φ = 49786306560.

The previous prime is 213958829713. The next prime is 213958829761. The reversal of 213958829760 is 67928859312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 213958829694 and 213958829703.

It is not an unprimeable number, because it can be changed into a prime (213958829761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173808345 + ... + 173809575.

It is an arithmetic number, because the mean of its divisors is an integer number (1722668640).

Almost surely, 2^213958829760 is an apocalyptic number.

213958829760 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 213958829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385877775360).

213958829760 is an abundant number, since it is smaller than the sum of its proper divisors (557796720960).

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

213958829760 is a wasteful number, since it uses less digits than its factorization.

213958829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 213958829760 in words is "two hundred thirteen billion, nine hundred fifty-eight million, eight hundred twenty-nine thousand, seven hundred sixty".