10057828977 has 24 divisors (see below), whose sum is σ = 16609806720. Its totient is φ = 5745113280.

The previous prime is 10057828951. The next prime is 10057828987. The reversal of 10057828977 is 77982875001.

It is a happy number.

It is not a de Polignac number, because 10057828977 - 2¹⁴ = 10057812593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10057828987) 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 23 ways as a sum of consecutive naturals, for example, 141349 + ... + 200237.

It is an arithmetic number, because the mean of its divisors is an integer number (692075280).

Almost surely, 2^10057828977 is an apocalyptic number.

It is an amenable number.

10057828977 is a deficient number, since it is larger than the sum of its proper divisors (6551977743).

10057828977 is a wasteful number, since it uses less digits than its factorization.

10057828977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61613 (or 61610 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 54.

The spelling of 10057828977 in words is "ten billion, fifty-seven million, eight hundred twenty-eight thousand, nine hundred seventy-seven".