10005727074743 has 8 divisors (see below), whose sum is σ = 10070346712800. Its totient is φ = 9941118688800.

The previous prime is 10005727074727. The next prime is 10005727074767. The reversal of 10005727074743 is 34747072750001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10005727074743 - 2⁴ = 10005727074727 is a prime.

It is a super-2 number, since 2×10005727074743² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005727070743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025168 + ... + 4589381.

It is an arithmetic number, because the mean of its divisors is an integer number (1258793339100).

Almost surely, 2^{10005727074743} is an apocalyptic number.

10005727074743 is a deficient number, since it is larger than the sum of its proper divisors (64619638057).

10005727074743 is a wasteful number, since it uses less digits than its factorization.

10005727074743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626057.

The product of its (nonzero) digits is 1152480, while the sum is 47.

The spelling of 10005727074743 in words is "ten trillion, five billion, seven hundred twenty-seven million, seventy-four thousand, seven hundred forty-three".