10427657919 has 48 divisors (see below), whose sum is σ = 17348728320. Its totient is φ = 5450276160.

The previous prime is 10427657899. The next prime is 10427657923. The reversal of 10427657919 is 91975672401.

It is not a de Polignac number, because 10427657919 - 2⁸ = 10427657663 is a prime.

It is a super-2 number, since 2×10427657919² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427617919) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196134 + ... + 243564.

It is an arithmetic number, because the mean of its divisors is an integer number (361431840).

Almost surely, 2^10427657919 is an apocalyptic number.

10427657919 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10427657919 is a deficient number, since it is larger than the sum of its proper divisors (6921070401).

10427657919 is a wasteful number, since it uses less digits than its factorization.

10427657919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47508 (or 47489 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The spelling of 10427657919 in words is "ten billion, four hundred twenty-seven million, six hundred fifty-seven thousand, nine hundred nineteen".