87989516160 has 1024 divisors, whose sum is σ = 360662077440. Its totient is φ = 17753702400.

The previous prime is 87989516093. The next prime is 87989516171. The reversal of 87989516160 is 6161598978.

It is a super-3 number, since 3×87989516160³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 87989516094 and 87989516103.

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, 508609834 + ... + 508610006.

It is an arithmetic number, because the mean of its divisors is an integer number (352209060).

Almost surely, 2^87989516160 is an apocalyptic number.

87989516160 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 87989516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180331038720).

87989516160 is an abundant number, since it is smaller than the sum of its proper divisors (272672561280).

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

87989516160 is a wasteful number, since it uses less digits than its factorization.

87989516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 87989516160 in words is "eighty-seven billion, nine hundred eighty-nine million, five hundred sixteen thousand, one hundred sixty".