10575308880900 has 405 divisors, whose sum is σ = 35859079583173. Its totient is φ = 2695753051200.

The previous prime is 10575308880841. The next prime is 10575308880931. The reversal of 10575308880900 is 908880357501.

The square root of 10575308880900 is 3251970.

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

10575308880900 is a `hidden beast` number, since 10 + 5 + 7 + 530 + 8 + 8 + 8 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3807111197124 + 6768197683776 = 1951182^2 + 2601576^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×10575308880900² (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 a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6731577115 + ... + 6731578685.

Almost surely, 2^{10575308880900} is an apocalyptic number.

10575308880900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10575308880900 is the 3251970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10575308880900

10575308880900 is an abundant number, since it is smaller than the sum of its proper divisors (25283770702273).

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

10575308880900 is an equidigital number, since it uses as much as digits as its factorization.

10575308880900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3214 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 10575308880900 in words is "ten trillion, five hundred seventy-five billion, three hundred eight million, eight hundred eighty thousand, nine hundred".