10038821759999 has 16 divisors (see below), whose sum is σ = 10471360545408. Its totient is φ = 9614972629152.

The previous prime is 10038821759983. The next prime is 10038821760007. The reversal of 10038821759999 is 99995712883001.

It is a cyclic number.

It is not a de Polignac number, because 10038821759999 - 2⁴ = 10038821759983 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10038821759899) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2118632 + ... + 4956434.

It is an arithmetic number, because the mean of its divisors is an integer number (654460034088).

Almost surely, 2^{10038821759999} is an apocalyptic number.

10038821759999 is a deficient number, since it is larger than the sum of its proper divisors (432538785409).

10038821759999 is a wasteful number, since it uses less digits than its factorization.

10038821759999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839334.

The product of its (nonzero) digits is 88179840, while the sum is 71.

The spelling of 10038821759999 in words is "ten trillion, thirty-eight billion, eight hundred twenty-one million, seven hundred fifty-nine thousand, nine hundred ninety-nine".