142086008762880 has 640 divisors, whose sum is σ = 588477735014400. Its totient is φ = 28400763469824.

The previous prime is 142086008762801. The next prime is 142086008762909. The reversal of 142086008762880 is 88267800680241.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7928581 + ... + 18628859.

It is an arithmetic number, because the mean of its divisors is an integer number (919496460960).

Almost surely, 2^{142086008762880} is an apocalyptic number.

142086008762880 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 142086008762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294238867507200).

142086008762880 is an abundant number, since it is smaller than the sum of its proper divisors (446391726251520).

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

142086008762880 is a wasteful number, since it uses less digits than its factorization.

142086008762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700344 (or 10700328 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 60.

The spelling of 142086008762880 in words is "one hundred forty-two trillion, eighty-six billion, eight million, seven hundred sixty-two thousand, eight hundred eighty".