10290361913199 has 48 divisors (see below), whose sum is σ = 14996364364800. Its totient is φ = 6799357937088.

The previous prime is 10290361913177. The next prime is 10290361913213. The reversal of 10290361913199 is 99131916309201.

It is a happy number.

10290361913199 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 0 + 3 + 619 + 1 + 3 + 19 + 9 = 666.

It is not a de Polignac number, because 10290361913199 - 2¹⁵ = 10290361880431 is a prime.

It is a super-2 number, since 2×10290361913199² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290361983199) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557490554 + ... + 1557497160.

It is an arithmetic number, because the mean of its divisors is an integer number (312424257600).

Almost surely, 2^{10290361913199} is an apocalyptic number.

10290361913199 is a deficient number, since it is larger than the sum of its proper divisors (4706002451601).

10290361913199 is a wasteful number, since it uses less digits than its factorization.

10290361913199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9844 (or 9841 counting only the distinct ones).

The product of its (nonzero) digits is 708588, while the sum is 54.

The spelling of 10290361913199 in words is "ten trillion, two hundred ninety billion, three hundred sixty-one million, nine hundred thirteen thousand, one hundred ninety-nine".