10142689668 has 72 divisors (see below), whose sum is σ = 26463645600. Its totient is φ = 3014525952.

The previous prime is 10142689663. The next prime is 10142689693. The reversal of 10142689668 is 86698624101.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10142689668.

It is not an unprimeable number, because it can be changed into a prime (10142689663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11073 + ... + 142856.

Almost surely, 2^10142689668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142689668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231822800).

10142689668 is an abundant number, since it is smaller than the sum of its proper divisors (16320955932).

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

10142689668 is a wasteful number, since it uses less digits than its factorization.

10142689668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153989 (or 153970 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 10142689668 in words is "ten billion, one hundred forty-two million, six hundred eighty-nine thousand, six hundred sixty-eight".