10277920931328 has 120 divisors (see below), whose sum is σ = 31223974696200. Its totient is φ = 3245659213824.

The previous prime is 10277920931323. The next prime is 10277920931359. The reversal of 10277920931328 is 82313902977201.

It is a happy number.

10277920931328 is a `hidden beast` number, since 10 + 2 + 7 + 79 + 209 + 31 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10277920931321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58608543 + ... + 58783646.

It is an arithmetic number, because the mean of its divisors is an integer number (260199789135).

Almost surely, 2^{10277920931328} is an apocalyptic number.

10277920931328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10277920931328 is an abundant number, since it is smaller than the sum of its proper divisors (20946053764872).

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

10277920931328 is a wasteful number, since it uses less digits than its factorization.

10277920931328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117392232 (or 117392213 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10277920931328 in words is "ten trillion, two hundred seventy-seven billion, nine hundred twenty million, nine hundred thirty-one thousand, three hundred twenty-eight".