10742712142080 has 288 divisors, whose sum is σ = 35923531021056. Its totient is φ = 2730811359232.

The previous prime is 10742712142049. The next prime is 10742712142091. The reversal of 10742712142080 is 8024121724701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25670194 + ... + 26085326.

It is an arithmetic number, because the mean of its divisors is an integer number (124734482712).

Almost surely, 2^{10742712142080} is an apocalyptic number.

10742712142080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10742712142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17961765510528).

10742712142080 is an abundant number, since it is smaller than the sum of its proper divisors (25180818878976).

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

10742712142080 is a wasteful number, since it uses less digits than its factorization.

10742712142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415473 (or 415459 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

Adding to 10742712142080 its reverse (8024121724701), we get a palindrome (18766833866781).

The spelling of 10742712142080 in words is "ten trillion, seven hundred forty-two billion, seven hundred twelve million, one hundred forty-two thousand, eighty".