10271755812072 has 64 divisors (see below), whose sum is σ = 25698212438400. Its totient is φ = 3421409587200.

The previous prime is 10271755812053. The next prime is 10271755812089. The reversal of 10271755812072 is 27021855717201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289107573 + ... + 289143099.

It is an arithmetic number, because the mean of its divisors is an integer number (401534569350).

Almost surely, 2^{10271755812072} is an apocalyptic number.

10271755812072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10271755812072 is an abundant number, since it is smaller than the sum of its proper divisors (15426456626328).

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

10271755812072 is a wasteful number, since it uses less digits than its factorization.

10271755812072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44026 (or 44022 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 48.

The spelling of 10271755812072 in words is "ten trillion, two hundred seventy-one billion, seven hundred fifty-five million, eight hundred twelve thousand, seventy-two".