87082002000 has 960 divisors, whose sum is σ = 366947942400. Its totient is φ = 18817920000.

The previous prime is 87082001989. The next prime is 87082002013. The reversal of 87082002000 is 20028078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437597901 + ... + 437598099.

It is an arithmetic number, because the mean of its divisors is an integer number (382237440).

Almost surely, 2^87082002000 is an apocalyptic number.

87082002000 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 87082002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183473971200).

87082002000 is an abundant number, since it is smaller than the sum of its proper divisors (279865940400).

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

87082002000 is a wasteful number, since it uses less digits than its factorization.

87082002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 87082002000 in words is "eighty-seven billion, eighty-two million, two thousand".