10366918852900 has 81 divisors (see below), whose sum is σ = 23518516106001. Its totient is φ = 3966189960480.

The previous prime is 10366918852841. The next prime is 10366918852943. The reversal of 10366918852900 is 925881966301.

The square root of 10366918852900 is 3219770.

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

It can be written as a sum of positive squares in only one way, i.e., 3732090787044 + 6634828065856 = 1931862^2 + 2575816^2 .

It is a super-2 number, since 2×10366918852900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 740540101 + ... + 740554099.

Almost surely, 2^{10366918852900} is an apocalyptic number.

10366918852900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10366918852900 is the 3219770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10366918852900

10366918852900 is an abundant number, since it is smaller than the sum of its proper divisors (13151597253101).

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

10366918852900 is an frugal number, since it uses more digits than its factorization.

10366918852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28058 (or 14029 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 58.

The spelling of 10366918852900 in words is "ten trillion, three hundred sixty-six billion, nine hundred eighteen million, eight hundred fifty-two thousand, nine hundred".