10005727074742 has 16 divisors (see below), whose sum is σ = 17369797455360. Its totient is φ = 4233888128808.

The previous prime is 10005727074727. The next prime is 10005727074767. The reversal of 10005727074742 is 24747072750001.

It is a happy number.

It is a super-2 number, since 2×10005727074742² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10005727074692 and 10005727074701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4523383648 + ... + 4523385859.

It is an arithmetic number, because the mean of its divisors is an integer number (1085612340960).

Almost surely, 2^{10005727074742} is an apocalyptic number.

10005727074742 is a deficient number, since it is larger than the sum of its proper divisors (7364070380618).

10005727074742 is an equidigital number, since it uses as much as digits as its factorization.

10005727074742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9046769595.

The product of its (nonzero) digits is 768320, while the sum is 46.

The spelling of 10005727074742 in words is "ten trillion, five billion, seven hundred twenty-seven million, seventy-four thousand, seven hundred forty-two".