10790411582349 has 96 divisors (see below), whose sum is σ = 19357652787200. Its totient is φ = 5652247962240.

The previous prime is 10790411582323. The next prime is 10790411582369. The reversal of 10790411582349 is 94328511409701.

10790411582349 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 0 + 4 + 11 + 582 + 3 + 49 = 666.

10790411582349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10790411582349 - 2⁹ = 10790411581837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10790411582295 and 10790411582304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10790411582369) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386974962 + ... + 387002844.

Almost surely, 2^{10790411582349} is an apocalyptic number.

10790411582349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10790411582349 is a deficient number, since it is larger than the sum of its proper divisors (8567241204851).

10790411582349 is a wasteful number, since it uses less digits than its factorization.

10790411582349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38375 (or 38372 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10790411582349 in words is "ten trillion, seven hundred ninety billion, four hundred eleven million, five hundred eighty-two thousand, three hundred forty-nine".