10272705640032 has 384 divisors, whose sum is σ = 30397180262400. Its totient is φ = 3011493888000.

The previous prime is 10272705640031. The next prime is 10272705640117. The reversal of 10272705640032 is 23004650727201.

It is a super-2 number, since 2×10272705640032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10272705640031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 817298644 + ... + 817311212.

It is an arithmetic number, because the mean of its divisors is an integer number (79159323600).

Almost surely, 2^{10272705640032} is an apocalyptic number.

10272705640032 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 10272705640032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15198590131200).

10272705640032 is an abundant number, since it is smaller than the sum of its proper divisors (20124474622368).

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

10272705640032 is a wasteful number, since it uses less digits than its factorization.

10272705640032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12870 (or 12862 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 10272705640032 in words is "ten trillion, two hundred seventy-two billion, seven hundred five million, six hundred forty thousand, thirty-two".