87635328000 has 352 divisors, whose sum is σ = 318024016128. Its totient is φ = 21243904000.

The previous prime is 87635327993. The next prime is 87635328013. The reversal of 87635328000 is 82353678.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4213627 + ... + 4234373.

Almost surely, 2^87635328000 is an apocalyptic number.

87635328000 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 87635328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159012008064).

87635328000 is an abundant number, since it is smaller than the sum of its proper divisors (230388688128).

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

87635328000 is a wasteful number, since it uses less digits than its factorization.

87635328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20796 (or 20768 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 87635328000 in words is "eighty-seven billion, six hundred thirty-five million, three hundred twenty-eight thousand".