10371271680 has 1056 divisors, whose sum is σ = 46596925440. Its totient is φ = 2070282240.

The previous prime is 10371271637. The next prime is 10371271693. The reversal of 10371271680 is 8617217301.

10371271680 is a `hidden beast` number, since 10 + 371 + 271 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131281881 + ... + 131281959.

Almost surely, 2^10371271680 is an apocalyptic number.

10371271680 is a gapful number since it is divisible by the number (10) 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 10371271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23298462720).

10371271680 is an abundant number, since it is smaller than the sum of its proper divisors (36225653760).

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

10371271680 is a wasteful number, since it uses less digits than its factorization.

10371271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 10371271680 its reverse (8617217301), we get a palindrome (18988488981).

The spelling of 10371271680 in words is "ten billion, three hundred seventy-one million, two hundred seventy-one thousand, six hundred eighty".