10005762988434 has 192 divisors, whose sum is σ = 22006224322560. Its totient is φ = 3024808133760.

The previous prime is 10005762988363. The next prime is 10005762988477. The reversal of 10005762988434 is 43488926750001.

It is a happy number.

10005762988434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4088990599 + ... + 4088993045.

It is an arithmetic number, because the mean of its divisors is an integer number (114615751680).

It is a 1-persistent number, because it is pandigital, but 2⋅10005762988434 = 20011525976868 is not.

Almost surely, 2^{10005762988434} is an apocalyptic number.

10005762988434 is an abundant number, since it is smaller than the sum of its proper divisors (12000461334126).

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

10005762988434 is a wasteful number, since it uses less digits than its factorization.

10005762988434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 10005762988434 in words is "ten trillion, five billion, seven hundred sixty-two million, nine hundred eighty-eight thousand, four hundred thirty-four".