87989518320 has 640 divisors, whose sum is σ = 322157952000. Its totient is φ = 19641139200.

The previous prime is 87989518247. The next prime is 87989518327. The reversal of 87989518320 is 2381598978.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87989518327) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 455904144 + ... + 455904336.

It is an arithmetic number, because the mean of its divisors is an integer number (503371800).

Almost surely, 2^87989518320 is an apocalyptic number.

87989518320 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 87989518320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161078976000).

87989518320 is an abundant number, since it is smaller than the sum of its proper divisors (234168433680).

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

87989518320 is a wasteful number, since it uses less digits than its factorization.

87989518320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 87989518320 in words is "eighty-seven billion, nine hundred eighty-nine million, five hundred eighteen thousand, three hundred twenty".