10005435434544 has 160 divisors (see below), whose sum is σ = 30124200975360. Its totient is φ = 2829502368000.

The previous prime is 10005435434513. The next prime is 10005435434581. The reversal of 10005435434544 is 44543453450001.

It is a junction number, because it is equal to n+sod(n) for n = 10005435434496 and 10005435434505.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6770782 + ... + 8115069.

It is an arithmetic number, because the mean of its divisors is an integer number (188276256096).

Almost surely, 2^{10005435434544} is an apocalyptic number.

It is an amenable number.

10005435434544 is an abundant number, since it is smaller than the sum of its proper divisors (20118765540816).

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

10005435434544 is a wasteful number, since it uses less digits than its factorization.

10005435434544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14885959 (or 14885953 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 42.

Adding to 10005435434544 its reverse (44543453450001), we get a palindrome (54548888884545).

The spelling of 10005435434544 in words is "ten trillion, five billion, four hundred thirty-five million, four hundred thirty-four thousand, five hundred forty-four".