10269909808900 has 243 divisors, whose sum is σ = 27549071719869. Its totient is φ = 3312757109760.

The previous prime is 10269909808897. The next prime is 10269909808903. The reversal of 10269909808900 is 980890996201.

The square root of 10269909808900 is 3204670.

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

It is an interprime number because it is at equal distance from previous prime (10269909808897) and next prime (10269909808903).

It can be written as a sum of positive squares in 13 ways, for example, as 4486000248324 + 5783909560576 = 2118018^2 + 2404976^2 .

It is not an unprimeable number, because it can be changed into a prime (10269909808903) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3813555954 + ... + 3813558646.

Almost surely, 2^{10269909808900} is an apocalyptic number.

10269909808900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10269909808900 is the 3204670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10269909808900

10269909808900 is an abundant number, since it is smaller than the sum of its proper divisors (17279161910969).

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

10269909808900 is an equidigital number, since it uses as much as digits as its factorization.

10269909808900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5448 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 61.

The spelling of 10269909808900 in words is "ten trillion, two hundred sixty-nine billion, nine hundred nine million, eight hundred eight thousand, nine hundred".