10097826886800 has 960 divisors, whose sum is σ = 38301060003840. Its totient is φ = 2521132922880.

The previous prime is 10097826886787. The next prime is 10097826886831. The reversal of 10097826886800 is 868862879001.

It is a super-2 number, since 2×10097826886800² (a number of 27 digits) contains 22 as substring.

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, 8991831039 + ... + 8991832161.

It is an arithmetic number, because the mean of its divisors is an integer number (39896937504).

Almost surely, 2^{10097826886800} is an apocalyptic number.

10097826886800 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 10097826886800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19150530001920).

10097826886800 is an abundant number, since it is smaller than the sum of its proper divisors (28203233117040).

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

10097826886800 is a wasteful number, since it uses less digits than its factorization.

10097826886800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 10097826886800 in words is "ten trillion, ninety-seven billion, eight hundred twenty-six million, eight hundred eighty-six thousand, eight hundred".