10271481696 has 432 divisors, whose sum is σ = 36008612640. Its totient is φ = 2821754880.

The previous prime is 10271481683. The next prime is 10271481707. The reversal of 10271481696 is 69618417201.

10271481696 is a `hidden beast` number, since 10 + 2 + 71 + 481 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42620136 + ... + 42620376.

It is an arithmetic number, because the mean of its divisors is an integer number (83353270).

Almost surely, 2^10271481696 is an apocalyptic number.

10271481696 is a gapful number since it is divisible by the number (16) 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 10271481696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004306320).

10271481696 is an abundant number, since it is smaller than the sum of its proper divisors (25737130944).

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

10271481696 is an frugal number, since it uses more digits than its factorization.

10271481696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

Adding to 10271481696 its reverse (69618417201), we get a palindrome (79889898897).

The spelling of 10271481696 in words is "ten billion, two hundred seventy-one million, four hundred eighty-one thousand, six hundred ninety-six".