87588864000 has 912 divisors, whose sum is σ = 357253356096. Its totient is φ = 21233664000.

The previous prime is 87588863987. The next prime is 87588864001. The reversal of 87588864000 is 46888578.

87588864000 is a `hidden beast` number, since 87 + 5 + 88 + 86 + 400 + 0 = 666.

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 (87588864001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7962623995 + ... + 7962624005.

Almost surely, 2^87588864000 is an apocalyptic number.

87588864000 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 87588864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178626678048).

87588864000 is an abundant number, since it is smaller than the sum of its proper divisors (269664492096).

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

87588864000 is an frugal number, since it uses more digits than its factorization.

87588864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 87588864000 in words is "eighty-seven billion, five hundred eighty-eight million, eight hundred sixty-four thousand".