10280808576900 has 243 divisors, whose sum is σ = 34237138996879. Its totient is φ = 2579870952960.

The previous prime is 10280808576887. The next prime is 10280808576923. The reversal of 10280808576900 is 967580808201.

The square root of 10280808576900 is 3206370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 240478428996 + 10040330147904 = 490386^2 + 3168648^2 .

It is a super-2 number, since 2×10280808576900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1635245557 + ... + 1635251843.

Almost surely, 2^{10280808576900} is an apocalyptic number.

10280808576900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10280808576900 is the 3206370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10280808576900

10280808576900 is an abundant number, since it is smaller than the sum of its proper divisors (23956330419979).

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

10280808576900 is an equidigital number, since it uses as much as digits as its factorization.

10280808576900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12628 (or 6314 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 10280808576900 in words is "ten trillion, two hundred eighty billion, eight hundred eight million, five hundred seventy-six thousand, nine hundred".