10271770880 has 144 divisors (see below), whose sum is σ = 29599409280. Its totient is φ = 3336339456.

The previous prime is 10271770843. The next prime is 10271770891. The reversal of 10271770880 is 8807717201.

It is a super-2 number, since 2×10271770880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140072 + ... + 200408.

Almost surely, 2^10271770880 is an apocalyptic number.

10271770880 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 10271770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799704640).

10271770880 is an abundant number, since it is smaller than the sum of its proper divisors (19327638400).

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

10271770880 is an equidigital number, since it uses as much as digits as its factorization.

10271770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60384 (or 60370 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 41.

The spelling of 10271770880 in words is "ten billion, two hundred seventy-one million, seven hundred seventy thousand, eight hundred eighty".