867543216400 has 135 divisors (see below), whose sum is σ = 2424926463951. Its totient is φ = 297398680320.

The previous prime is 867543216373. The next prime is 867543216437. The reversal of 867543216400 is 4612345768.

The square root of 867543216400 is 931420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 421361967376 + 446181249024 = 649124^2 + 667968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130395474 + ... + 130402126.

Almost surely, 2^867543216400 is an apocalyptic number.

867543216400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

867543216400 is the 931420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867543216400

867543216400 is an abundant number, since it is smaller than the sum of its proper divisors (1557383247551).

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

867543216400 is an frugal number, since it uses more digits than its factorization.

867543216400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13338 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The spelling of 867543216400 in words is "eight hundred sixty-seven billion, five hundred forty-three million, two hundred sixteen thousand, four hundred".