10049958807889 has 81 divisors (see below), whose sum is σ = 13919090736411. Its totient is φ = 7226459079840.

The previous prime is 10049958807881. The next prime is 10049958807899. The reversal of 10049958807889 is 98870885994001.

The square root of 10049958807889 is 3170167.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1486680297025 + 8563278510864 = 1219295^2 + 2926308^2 .

It is not a de Polignac number, because 10049958807889 - 2³ = 10049958807881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10049958807881) 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 80 ways as a sum of consecutive naturals, for example, 3173335584 + ... + 3173338750.

Almost surely, 2^{10049958807889} is an apocalyptic number.

10049958807889 is the 3170167-th square number.

10049958807889 is the 1585084-th centered octagonal number.

It is an amenable number.

10049958807889 is a deficient number, since it is larger than the sum of its proper divisors (3869131928522).

10049958807889 is an frugal number, since it uses more digits than its factorization.

10049958807889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 76.

The spelling of 10049958807889 in words is "ten trillion, forty-nine billion, nine hundred fifty-eight million, eight hundred seven thousand, eight hundred eighty-nine".