10051093385800 has 192 divisors, whose sum is σ = 25066401004800. Its totient is φ = 3734587084800.

The previous prime is 10051093385791. The next prime is 10051093385821. The reversal of 10051093385800 is 858339015001.

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 47 ways as a sum of consecutive naturals, for example, 892552170 + ... + 892563430.

It is an arithmetic number, because the mean of its divisors is an integer number (130554171900).

Almost surely, 2^{10051093385800} is an apocalyptic number.

10051093385800 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 10051093385800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533200502400).

10051093385800 is an abundant number, since it is smaller than the sum of its proper divisors (15015307619000).

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

10051093385800 is a wasteful number, since it uses less digits than its factorization.

10051093385800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14696 (or 14687 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The spelling of 10051093385800 in words is "ten trillion, fifty-one billion, ninety-three million, three hundred eighty-five thousand, eight hundred".