10801082250000 has 945 divisors, whose sum is σ = 44094333886083. Its totient is φ = 2460931200000.

The previous prime is 10801082249981. The next prime is 10801082250017. The reversal of 10801082250000 is 5228010801.

The square root of 10801082250000 is 3286500.

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

10801082250000 is a `hidden beast` number, since 1 + 0 + 80 + 1 + 0 + 82 + 2 + 500 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1956786917904 + 8844295332096 = 1398852^2 + 2973936^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 34508249844 + ... + 34508250156.

Almost surely, 2^{10801082250000} is an apocalyptic number.

10801082250000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10801082250000 is the 3286500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10801082250000

10801082250000 is an abundant number, since it is smaller than the sum of its proper divisors (33293251636083).

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

10801082250000 is an frugal number, since it uses more digits than its factorization.

10801082250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 10801082250000 in words is "ten trillion, eight hundred one billion, eighty-two million, two hundred fifty thousand".