10270055680 has 144 divisors (see below), whose sum is σ = 25813267200. Its totient is φ = 3907436544.

The previous prime is 10270055639. The next prime is 10270055717. The reversal of 10270055680 is 8655007201.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5857684 + ... + 5859436.

It is an arithmetic number, because the mean of its divisors is an integer number (179258800).

Almost surely, 2^10270055680 is an apocalyptic number.

10270055680 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 10270055680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906633600).

10270055680 is an abundant number, since it is smaller than the sum of its proper divisors (15543211520).

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

10270055680 is a wasteful number, since it uses less digits than its factorization.

10270055680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The spelling of 10270055680 in words is "ten billion, two hundred seventy million, fifty-five thousand, six hundred eighty".