87080416500 has 384 divisors, whose sum is σ = 318306852864. Its totient is φ = 17971200000.

The previous prime is 87080416499. The next prime is 87080416519. The reversal of 87080416500 is 561408078.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17438004 + ... + 17442996.

It is an arithmetic number, because the mean of its divisors is an integer number (828924096).

Almost surely, 2^87080416500 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 87080416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159153426432).

87080416500 is an abundant number, since it is smaller than the sum of its proper divisors (231226436364).

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

87080416500 is a wasteful number, since it uses less digits than its factorization.

87080416500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 87080416500 in words is "eighty-seven billion, eighty million, four hundred sixteen thousand, five hundred".