10681587675 has 72 divisors (see below), whose sum is σ = 21969754560. Its totient is φ = 4906353600.

The previous prime is 10681587673. The next prime is 10681587677. The reversal of 10681587675 is 57678518601.

It is an interprime number because it is at equal distance from previous prime (10681587673) and next prime (10681587677).

It is not a de Polignac number, because 10681587675 - 2¹ = 10681587673 is a prime.

It is a super-2 number, since 2×10681587675² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10681587673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66549 + ... + 160598.

It is an arithmetic number, because the mean of its divisors is an integer number (305135480).

Almost surely, 2^10681587675 is an apocalyptic number.

10681587675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10681587675 is an abundant number, since it is smaller than the sum of its proper divisors (11288166885).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10681587675 is a wasteful number, since it uses less digits than its factorization.

10681587675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227193 (or 227185 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 10681587675 in words is "ten billion, six hundred eighty-one million, five hundred eighty-seven thousand, six hundred seventy-five".