10034727405573 has 8 divisors (see below), whose sum is σ = 14408839351648. Its totient is φ = 6175216864944.

The previous prime is 10034727405557. The next prime is 10034727405587. The reversal of 10034727405573 is 37550472743001.

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

It is not a de Polignac number, because 10034727405573 - 2⁴ = 10034727405557 is a prime.

It is a super-3 number, since 3×10034727405573³ (a number of 40 digits) contains 333 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 (10034727405523) 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, 128650351315 + ... + 128650351392.

It is an arithmetic number, because the mean of its divisors is an integer number (1801104918956).

Almost surely, 2^{10034727405573} is an apocalyptic number.

10034727405573 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10034727405573 is a deficient number, since it is larger than the sum of its proper divisors (4374111946075).

10034727405573 is a wasteful number, since it uses less digits than its factorization.

10034727405573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257300702723.

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 10034727405573 in words is "ten trillion, thirty-four billion, seven hundred twenty-seven million, four hundred five thousand, five hundred seventy-three".