10057120668 has 72 divisors (see below), whose sum is σ = 30317134848. Its totient is φ = 2748528288.

The previous prime is 10057120663. The next prime is 10057120681. The reversal of 10057120668 is 86602175001.

10057120668 is a `hidden beast` number, since 1 + 0 + 0 + 571 + 20 + 6 + 68 = 666.

It is a super-2 number, since 2×10057120668² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057120663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 861796 + ... + 873387.

Almost surely, 2^10057120668 is an apocalyptic number.

10057120668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10057120668 is an abundant number, since it is smaller than the sum of its proper divisors (20260014180).

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

10057120668 is a wasteful number, since it uses less digits than its factorization.

10057120668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735223 (or 1735218 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10057120668 its reverse (86602175001), we get a palindrome (96659295669).

The spelling of 10057120668 in words is "ten billion, fifty-seven million, one hundred twenty thousand, six hundred sixty-eight".