10416627819 has 36 divisors (see below), whose sum is σ = 16536010296. Its totient is φ = 6314495616.

The previous prime is 10416627761. The next prime is 10416627841. The reversal of 10416627819 is 91872661401.

10416627819 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 6 + 627 + 8 + 19 = 666.

It is not a de Polignac number, because 10416627819 - 2²⁴ = 10399850603 is a prime.

It is a super-2 number, since 2×10416627819² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10416627869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50799 + ... + 153015.

Almost surely, 2^10416627819 is an apocalyptic number.

10416627819 is a deficient number, since it is larger than the sum of its proper divisors (6119382477).

10416627819 is a wasteful number, since it uses less digits than its factorization.

10416627819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102316 (or 102300 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10416627819 in words is "ten billion, four hundred sixteen million, six hundred twenty-seven thousand, eight hundred nineteen".