84825942010000 has 225 divisors, whose sum is σ = 212282152325199. Its totient is φ = 32824796400000.

The previous prime is 84825942009997. The next prime is 84825942010001. The reversal of 84825942010000 is 1024952848.

The square root of 84825942010000 is 9210100.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6650353853584 + 78175588156416 = 2578828^2 + 8841696^2 .

It is not an unprimeable number, because it can be changed into a prime (84825942010001) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 28551308515 + ... + 28551311485.

Almost surely, 2^{84825942010000} is an apocalyptic number.

84825942010000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

84825942010000 is the 9210100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84825942010000

84825942010000 is an abundant number, since it is smaller than the sum of its proper divisors (127456210315199).

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

84825942010000 is an frugal number, since it uses more digits than its factorization.

84825942010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6032 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

Adding to 84825942010000 its reverse (1024952848), we get a palindrome (84826966962848).

The spelling of 84825942010000 in words is "eighty-four trillion, eight hundred twenty-five billion, nine hundred forty-two million, ten thousand".