87661383040 has 768 divisors, whose sum is σ = 281304576000. Its totient is φ = 25514311680.

The previous prime is 87661382989. The next prime is 87661383049. The reversal of 87661383040 is 4038316678.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87661383049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 984959316 + ... + 984959404.

It is an arithmetic number, because the mean of its divisors is an integer number (366282000).

Almost surely, 2^87661383040 is an apocalyptic number.

87661383040 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 87661383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140652288000).

87661383040 is an abundant number, since it is smaller than the sum of its proper divisors (193643192960).

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

87661383040 is a wasteful number, since it uses less digits than its factorization.

87661383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 87661383040 in words is "eighty-seven billion, six hundred sixty-one million, three hundred eighty-three thousand, forty".