87283042208000 has 576 divisors, whose sum is σ = 224844194615040. Its totient is φ = 33740808192000.

The previous prime is 87283042207997. The next prime is 87283042208023. The reversal of 87283042208000 is 80224038278.

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, 132447711671 + ... + 132447712329.

It is an arithmetic number, because the mean of its divisors is an integer number (390354504540).

Almost surely, 2^{87283042208000} is an apocalyptic number.

87283042208000 is a gapful number since it is divisible by the number (80) 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 87283042208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112422097307520).

87283042208000 is an abundant number, since it is smaller than the sum of its proper divisors (137561152407040).

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

87283042208000 is a wasteful number, since it uses less digits than its factorization.

87283042208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 87283042208000 in words is "eighty-seven trillion, two hundred eighty-three billion, forty-two million, two hundred eight thousand".