213075912294400 has 189 divisors, whose sum is σ = 528613423830093. Its totient is φ = 85200470016000.

The previous prime is 213075912294383. The next prime is 213075912294407. The reversal of 213075912294400 is 4492219570312.

It is a happy number.

The square root of 213075912294400 is 14597120.

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., 76707328425984 + 136368583868416 = 8758272^2 + 11677696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213075912294407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74737252975 + ... + 74737255825.

Almost surely, 2^{213075912294400} is an apocalyptic number.

213075912294400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

213075912294400 is the 14597120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213075912294400

213075912294400 is an abundant number, since it is smaller than the sum of its proper divisors (315537511535693).

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

213075912294400 is an frugal number, since it uses more digits than its factorization.

213075912294400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5752 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 213075912294400 in words is "two hundred thirteen trillion, seventy-five billion, nine hundred twelve million, two hundred ninety-four thousand, four hundred".