87681242880 has 1296 divisors, whose sum is σ = 400000857984. Its totient is φ = 18184642560.

The previous prime is 87681242819. The next prime is 87681242881. The reversal of 87681242880 is 8824218678.

87681242880 is a `hidden beast` number, since 87 + 68 + 1 + 2 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87681242881) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 167650299 + ... + 167650821.

Almost surely, 2^87681242880 is an apocalyptic number.

87681242880 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 87681242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200000428992).

87681242880 is an abundant number, since it is smaller than the sum of its proper divisors (312319615104).

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

87681242880 is a wasteful number, since it uses less digits than its factorization.

87681242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 87681242880 in words is "eighty-seven billion, six hundred eighty-one million, two hundred forty-two thousand, eight hundred eighty".