10142089982784 has 168 divisors, whose sum is σ = 29119336833600. Its totient is φ = 3375017920512.

The previous prime is 10142089982771. The next prime is 10142089982797. The reversal of 10142089982784 is 48728998024101.

10142089982784 is a `hidden beast` number, since 101 + 420 + 8 + 9 + 9 + 8 + 27 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (10142089982771) and next prime (10142089982797).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1452393757 + ... + 1452400739.

Almost surely, 2^{10142089982784} 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 10142089982784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559668416800).

10142089982784 is an abundant number, since it is smaller than the sum of its proper divisors (18977246850816).

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

10142089982784 is a wasteful number, since it uses less digits than its factorization.

10142089982784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10864 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 10142089982784 in words is "ten trillion, one hundred forty-two billion, eighty-nine million, nine hundred eighty-two thousand, seven hundred eighty-four".