10142677311585 has 64 divisors (see below), whose sum is σ = 19974709224960. Its totient is φ = 4279678986240.

The previous prime is 10142677311577. The next prime is 10142677311593. The reversal of 10142677311585 is 58511377624101.

It is an interprime number because it is at equal distance from previous prime (10142677311577) and next prime (10142677311593).

It is not a de Polignac number, because 10142677311585 - 2³ = 10142677311577 is a prime.

It is a super-2 number, since 2×10142677311585² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19233411 + ... + 19753719.

It is an arithmetic number, because the mean of its divisors is an integer number (312104831640).

Almost surely, 2^{10142677311585} is an apocalyptic number.

10142677311585 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10142677311585 is a deficient number, since it is larger than the sum of its proper divisors (9832031913375).

10142677311585 is a wasteful number, since it uses less digits than its factorization.

10142677311585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534618.

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 10142677311585 in words is "ten trillion, one hundred forty-two billion, six hundred seventy-seven million, three hundred eleven thousand, five hundred eighty-five".