10005502727451 has 32 divisors (see below), whose sum is σ = 16645407952896. Its totient is φ = 5193637524000.

The previous prime is 10005502727443. The next prime is 10005502727503. The reversal of 10005502727451 is 15472720550001.

It is not a de Polignac number, because 10005502727451 - 2³ = 10005502727443 is a prime.

It is a super-2 number, since 2×10005502727451² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10005502727651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16477095 + ... + 17073536.

It is an arithmetic number, because the mean of its divisors is an integer number (520168998528).

Almost surely, 2^{10005502727451} is an apocalyptic number.

10005502727451 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10005502727451 is a deficient number, since it is larger than the sum of its proper divisors (6639905225445).

10005502727451 is a wasteful number, since it uses less digits than its factorization.

10005502727451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33551943.

The product of its (nonzero) digits is 98000, while the sum is 39.

The spelling of 10005502727451 in words is "ten trillion, five billion, five hundred two million, seven hundred twenty-seven thousand, four hundred fifty-one".