10271983680 has 672 divisors, whose sum is σ = 44406921600. Its totient is φ = 2222567424.

The previous prime is 10271983679. The next prime is 10271983681. The reversal of 10271983680 is 8638917201.

10271983680 is a `hidden beast` number, since 10 + 271 + 9 + 8 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10271983679) and next prime (10271983681).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10271983681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8043202 + ... + 8044478.

Almost surely, 2^10271983680 is an apocalyptic number.

10271983680 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 10271983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22203460800).

10271983680 is an abundant number, since it is smaller than the sum of its proper divisors (34134937920).

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

10271983680 is a wasteful number, since it uses less digits than its factorization.

10271983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1313 counting only the distinct ones).

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

The spelling of 10271983680 in words is "ten billion, two hundred seventy-one million, nine hundred eighty-three thousand, six hundred eighty".