10094769125568 has 336 divisors, whose sum is σ = 31436850658304. Its totient is φ = 3207764229120.

The previous prime is 10094769125561. The next prime is 10094769125641. The reversal of 10094769125568 is 86552196749001.

10094769125568 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 4 + 7 + 69 + 1 + 2 + 5 + 568 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10094769125561) 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 47 ways as a sum of consecutive naturals, for example, 32145246 + ... + 32457762.

Almost surely, 2^{10094769125568} is an apocalyptic number.

10094769125568 is a gapful number since it is divisible by the number (18) 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 10094769125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15718425329152).

10094769125568 is an abundant number, since it is smaller than the sum of its proper divisors (21342081532736).

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

10094769125568 is an equidigital number, since it uses as much as digits as its factorization.

10094769125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312642 (or 312620 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10094769125568 in words is "ten trillion, ninety-four billion, seven hundred sixty-nine million, one hundred twenty-five thousand, five hundred sixty-eight".