10306072399872 has 208 divisors, whose sum is σ = 28057286269440. Its totient is φ = 3363400974336.

The previous prime is 10306072399867. The next prime is 10306072399919. The reversal of 10306072399872 is 27899327060301.

It is a super-2 number, since 2×10306072399872² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311938938 + ... + 311971974.

Almost surely, 2^{10306072399872} is an apocalyptic number.

10306072399872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306072399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14028643134720).

10306072399872 is an abundant number, since it is smaller than the sum of its proper divisors (17751213869568).

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

10306072399872 is an equidigital number, since it uses as much as digits as its factorization.

10306072399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33596 (or 33574 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The spelling of 10306072399872 in words is "ten trillion, three hundred six billion, seventy-two million, three hundred ninety-nine thousand, eight hundred seventy-two".