10566087950431 has 16 divisors (see below), whose sum is σ = 11434852623040. Its totient is φ = 9705383815680.

The previous prime is 10566087950419. The next prime is 10566087950443. The reversal of 10566087950431 is 13405978066501.

It is an interprime number because it is at equal distance from previous prime (10566087950419) and next prime (10566087950443).

It is a cyclic number.

It is not a de Polignac number, because 10566087950431 - 2²³ = 10566079561823 is a prime.

It is a super-2 number, since 2×10566087950431² (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 (10566087950471) 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 15 ways as a sum of consecutive naturals, for example, 2788165 + ... + 5376433.

It is an arithmetic number, because the mean of its divisors is an integer number (714678288940).

Almost surely, 2^{10566087950431} is an apocalyptic number.

10566087950431 is a deficient number, since it is larger than the sum of its proper divisors (868764672609).

10566087950431 is a wasteful number, since it uses less digits than its factorization.

10566087950431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589826.

The product of its (nonzero) digits is 5443200, while the sum is 55.

The spelling of 10566087950431 in words is "ten trillion, five hundred sixty-six billion, eighty-seven million, nine hundred fifty thousand, four hundred thirty-one".