10599719229841 has 81 divisors (see below), whose sum is σ = 13272409185777. Its totient is φ = 8438828832000.

The previous prime is 10599719229787. The next prime is 10599719229857. The reversal of 10599719229841 is 14892291799501.

The square root of 10599719229841 is 3255721.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2417853953025 + 8181865276816 = 1554945^2 + 2860396^2 .

It is not a de Polignac number, because 10599719229841 - 2⁷ = 10599719229713 is a prime.

It is a super-2 number, since 2×10599719229841² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10599719229041) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 42229956966 + ... + 42229957216.

Almost surely, 2^{10599719229841} is an apocalyptic number.

10599719229841 is the 3255721-st square number.

10599719229841 is the 1627861-st centered octagonal number.

It is an amenable number.

10599719229841 is a deficient number, since it is larger than the sum of its proper divisors (2672689955936).

10599719229841 is an frugal number, since it uses more digits than its factorization.

10599719229841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 67.

The spelling of 10599719229841 in words is "ten trillion, five hundred ninety-nine billion, seven hundred nineteen million, two hundred twenty-nine thousand, eight hundred forty-one".