213370086400 has 99 divisors (see below), whose sum is σ = 529082700249. Its totient is φ = 85318471680.

The previous prime is 213370086331. The next prime is 213370086421. The reversal of 213370086400 is 4680073312.

It is a happy number.

The square root of 213370086400 is 461920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76813231104 + 136556855296 = 277152^2 + 369536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 73905757 + ... + 73908643.

Almost surely, 2^213370086400 is an apocalyptic number.

213370086400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213370086400 is the 461920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213370086400

213370086400 is an abundant number, since it is smaller than the sum of its proper divisors (315712613849).

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

213370086400 is an frugal number, since it uses more digits than its factorization.

213370086400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5804 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

It can be divided in two parts, 2133700 and 86400, that added together give a square (2220100 = 1490²).

The spelling of 213370086400 in words is "two hundred thirteen billion, three hundred seventy million, eighty-six thousand, four hundred".