213450720000 has 360 divisors, whose sum is σ = 811310497536. Its totient is φ = 48787968000.

The previous prime is 213450719983. The next prime is 213450720011. The reversal of 213450720000 is 27054312.

It is a super-2 number, since 2×213450720000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3328237 + ... + 3391763.

Almost surely, 2^213450720000 is an apocalyptic number.

213450720000 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 213450720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405655248768).

213450720000 is an abundant number, since it is smaller than the sum of its proper divisors (597859777536).

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

213450720000 is an frugal number, since it uses more digits than its factorization.

213450720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63573 (or 63544 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 213450720000 its reverse (27054312), we get a palindrome (213477774312).

The spelling of 213450720000 in words is "two hundred thirteen billion, four hundred fifty million, seven hundred twenty thousand".