213645520000 has 160 divisors (see below), whose sum is σ = 580210210800. Its totient is φ = 77688960000.

The previous prime is 213645519979. The next prime is 213645520037. The reversal of 213645520000 is 25546312.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 758611 + ... + 1001389.

Almost surely, 2^213645520000 is an apocalyptic number.

213645520000 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 213645520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290105105400).

213645520000 is an abundant number, since it is smaller than the sum of its proper divisors (366564690800).

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

213645520000 is an equidigital number, since it uses as much as digits as its factorization.

213645520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242824 (or 242797 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

It can be divided in two parts, 2 and 13645520000, that multiplied together give a square (27291040000 = 165200²).

The spelling of 213645520000 in words is "two hundred thirteen billion, six hundred forty-five million, five hundred twenty thousand".