10075803792768 has 288 divisors, whose sum is σ = 33749287317720. Its totient is φ = 2876977152000.

The previous prime is 10075803792751. The next prime is 10075803792811. The reversal of 10075803792768 is 86729730857001.

10075803792768 is a `hidden beast` number, since 10 + 0 + 7 + 580 + 37 + 9 + 2 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90317503 + ... + 90428993.

Almost surely, 2^{10075803792768} is an apocalyptic number.

10075803792768 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 10075803792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874643658860).

10075803792768 is an abundant number, since it is smaller than the sum of its proper divisors (23673483524952).

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

10075803792768 is a wasteful number, since it uses less digits than its factorization.

10075803792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113126 (or 113104 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 10075803792768 in words is "ten trillion, seventy-five billion, eight hundred three million, seven hundred ninety-two thousand, seven hundred sixty-eight".