213514722560 has 288 divisors, whose sum is σ = 545169139200. Its totient is φ = 79976529920.

The previous prime is 213514722559. The next prime is 213514722569. The reversal of 213514722560 is 65227415312.

213514722560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213514722569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363738587 + ... + 363739173.

It is an arithmetic number, because the mean of its divisors is an integer number (1892948400).

Almost surely, 2^213514722560 is an apocalyptic number.

213514722560 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 213514722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272584569600).

213514722560 is an abundant number, since it is smaller than the sum of its proper divisors (331654416640).

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

213514722560 is a wasteful number, since it uses less digits than its factorization.

213514722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 213514722560 in words is "two hundred thirteen billion, five hundred fourteen million, seven hundred twenty-two thousand, five hundred sixty".