10271461846272 has 1152 divisors, whose sum is σ = 34334741790720. Its totient is φ = 2708442316800.

The previous prime is 10271461846267. The next prime is 10271461846279. The reversal of 10271461846272 is 27264816417201.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271461846279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12390182754 + ... + 12390183582.

It is an arithmetic number, because the mean of its divisors is an integer number (29804463360).

Almost surely, 2^{10271461846272} is an apocalyptic number.

10271461846272 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 10271461846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167370895360).

10271461846272 is an abundant number, since it is smaller than the sum of its proper divisors (24063279944448).

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

10271461846272 is a wasteful number, since it uses less digits than its factorization.

10271461846272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 10271461846272 in words is "ten trillion, two hundred seventy-one billion, four hundred sixty-one million, eight hundred forty-six thousand, two hundred seventy-two".