10457797968 has 60 divisors (see below), whose sum is σ = 29275852788. Its totient is φ = 3484915200.

The previous prime is 10457797943. The next prime is 10457797981. The reversal of 10457797968 is 86979775401.

10457797968 is a `hidden beast` number, since 1 + 0 + 457 + 7 + 97 + 96 + 8 = 666.

10457797968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9000696384 + 1457101584 = 94872^2 + 38172^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610318 + ... + 627218.

Almost surely, 2^10457797968 is an apocalyptic number.

10457797968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10457797968 is an abundant number, since it is smaller than the sum of its proper divisors (18818054820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10457797968 is a wasteful number, since it uses less digits than its factorization.

10457797968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21212 (or 21203 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 10457797968 in words is "ten billion, four hundred fifty-seven million, seven hundred ninety-seven thousand, nine hundred sixty-eight".