87130127616 has 576 divisors, whose sum is σ = 282279997440. Its totient is φ = 23348183040.

The previous prime is 87130127561. The next prime is 87130127627. The reversal of 87130127616 is 61672103178.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1193563356 + ... + 1193563428.

It is an arithmetic number, because the mean of its divisors is an integer number (490069440).

Almost surely, 2^87130127616 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 87130127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141139998720).

87130127616 is an abundant number, since it is smaller than the sum of its proper divisors (195149869824).

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

87130127616 is a wasteful number, since it uses less digits than its factorization.

87130127616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 87130127616 in words is "eighty-seven billion, one hundred thirty million, one hundred twenty-seven thousand, six hundred sixteen".