87985440000 has 1080 divisors, whose sum is σ = 343997285632. Its totient is φ = 22394880000.

The previous prime is 87985439987. The next prime is 87985440001. The reversal of 87985440000 is 4458978.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87985440001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1205279964 + ... + 1205280036.

Almost surely, 2^87985440000 is an apocalyptic number.

87985440000 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 87985440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171998642816).

87985440000 is an abundant number, since it is smaller than the sum of its proper divisors (256011845632).

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

87985440000 is an frugal number, since it uses more digits than its factorization.

87985440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Adding to 87985440000 its reverse (4458978), we get a palindrome (87989898978).

The spelling of 87985440000 in words is "eighty-seven billion, nine hundred eighty-five million, four hundred forty thousand".