10668585038400 has 945 divisors, whose sum is σ = 40339399041513. Its totient is φ = 2765624601600.

The previous prime is 10668585038389. The next prime is 10668585038497. The reversal of 10668585038400 is 483058586601.

The square root of 10668585038400 is 3266280.

It is a perfect power (a square), and thus also a powerful number.

10668585038400 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 58 + 503 + 84 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3840690613824 + 6827894424576 = 1959768^2 + 2613024^2 .

It is a super-2 number, since 2×10668585038400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 50562014295 + ... + 50562014505.

Almost surely, 2^{10668585038400} is an apocalyptic number.

10668585038400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10668585038400 is the 3266280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10668585038400

10668585038400 is an abundant number, since it is smaller than the sum of its proper divisors (29670814003113).

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

10668585038400 is an frugal number, since it uses more digits than its factorization.

10668585038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 10668585038400 in words is "ten trillion, six hundred sixty-eight billion, five hundred eighty-five million, thirty-eight thousand, four hundred".