10890671419536 has 80 divisors (see below), whose sum is σ = 28425581688000. Its totient is φ = 3592634056704.

The previous prime is 10890671419531. The next prime is 10890671419541. The reversal of 10890671419536 is 63591417609801.

It is an interprime number because it is at equal distance from previous prime (10890671419531) and next prime (10890671419541).

It is a self number, because there is not a number n which added to its sum of digits gives 10890671419536.

It is not an unprimeable number, because it can be changed into a prime (10890671419531) 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, 141732135 + ... + 141808953.

It is an arithmetic number, because the mean of its divisors is an integer number (355319771100).

Almost surely, 2^{10890671419536} is an apocalyptic number.

10890671419536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10890671419536 is an abundant number, since it is smaller than the sum of its proper divisors (17534910268464).

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

10890671419536 is a wasteful number, since it uses less digits than its factorization.

10890671419536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107376 (or 107370 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 10890671419536 in words is "ten trillion, eight hundred ninety billion, six hundred seventy-one million, four hundred nineteen thousand, five hundred thirty-six".