10168921657600 has 54 divisors (see below), whose sum is σ = 25169670012410. Its totient is φ = 4067568660480.

The previous prime is 10168921657507. The next prime is 10168921657693. The reversal of 10168921657600 is 675612986101.

It is an interprime number because it is at equal distance from previous prime (10168921657507) and next prime (10168921657693).

It can be written as a sum of positive squares in 3 ways, for example, as 367313572096 + 9801608085504 = 606064^2 + 3130752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 794440605 + ... + 794453404.

Almost surely, 2^{10168921657600} is an apocalyptic number.

10168921657600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10168921657600 is an abundant number, since it is smaller than the sum of its proper divisors (15000748354810).

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

10168921657600 is an equidigital number, since it uses as much as digits as its factorization.

10168921657600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588894035 (or 1588894016 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

The spelling of 10168921657600 in words is "ten trillion, one hundred sixty-eight billion, nine hundred twenty-one million, six hundred fifty-seven thousand, six hundred".