1006851696400 has 135 divisors (see below), whose sum is σ = 2659441262079. Its totient is φ = 366047616000.

The previous prime is 1006851696373. The next prime is 1006851696413. The reversal of 1006851696400 is 46961586001.

The square root of 1006851696400 is 1003420.

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 93863802384 + 912987894016 = 306372^2 + 955504^2 .

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, 220750120 + ... + 220754680.

Almost surely, 2^{1006851696400} is an apocalyptic number.

1006851696400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006851696400 is the 1003420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006851696400

1006851696400 is an abundant number, since it is smaller than the sum of its proper divisors (1652589565679).

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

1006851696400 is an frugal number, since it uses more digits than its factorization.

1006851696400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 4579 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 1006851696400 in words is "one trillion, six billion, eight hundred fifty-one million, six hundred ninety-six thousand, four hundred".