10209897936000 has 1536 divisors, whose sum is σ = 44469062726400. Its totient is φ = 2295143424000.

The previous prime is 10209897935977. The next prime is 10209897936067. The reversal of 10209897936000 is 63979890201.

10209897936000 is a `hidden beast` number, since 1 + 0 + 20 + 9 + 8 + 9 + 7 + 9 + 3 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1291244047 + ... + 1291251953.

Almost surely, 2^{10209897936000} is an apocalyptic number.

10209897936000 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 10209897936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234531363200).

10209897936000 is an abundant number, since it is smaller than the sum of its proper divisors (34259164790400).

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

10209897936000 is an equidigital number, since it uses as much as digits as its factorization.

10209897936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8020 (or 7985 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 10209897936000 in words is "ten trillion, two hundred nine billion, eight hundred ninety-seven million, nine hundred thirty-six thousand".