10320824460816 has 225 divisors, whose sum is σ = 30078748282429. Its totient is φ = 3416565802752.

The previous prime is 10320824460797. The next prime is 10320824460823. The reversal of 10320824460816 is 61806442802301.

The square root of 10320824460816 is 3212604.

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

10320824460816 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 8 + 24 + 4 + 608 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2095951107600 + 8224873353216 = 1447740^2 + 2867904^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26947322161 + ... + 26947322543.

Almost surely, 2^{10320824460816} is an apocalyptic number.

10320824460816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10320824460816 is the 3212604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10320824460816

10320824460816 is an abundant number, since it is smaller than the sum of its proper divisors (19757923821613).

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

10320824460816 is an frugal number, since it uses more digits than its factorization.

10320824460816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10320824460816 in words is "ten trillion, three hundred twenty billion, eight hundred twenty-four million, four hundred sixty thousand, eight hundred sixteen".