10545986995200 has 396 divisors, whose sum is σ = 37978029901188. Its totient is φ = 2795996774400.

The previous prime is 10545986995177. The next prime is 10545986995207. The reversal of 10545986995200 is 259968954501.

10545986995200 is a `hidden beast` number, since 1 + 0 + 5 + 45 + 9 + 8 + 69 + 9 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 55228760064 + 10490758235136 = 235008^2 + 3238944^2 .

It is a super-2 number, since 2×10545986995200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10545986995207) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 39726910 + ... + 39991490.

Almost surely, 2^{10545986995200} is an apocalyptic number.

10545986995200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545986995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18989014950594).

10545986995200 is an abundant number, since it is smaller than the sum of its proper divisors (27432042905988).

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

10545986995200 is a wasteful number, since it uses less digits than its factorization.

10545986995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264790 (or 264764 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 10545986995200 in words is "ten trillion, five hundred forty-five billion, nine hundred eighty-six million, nine hundred ninety-five thousand, two hundred".