87643153200 has 480 divisors, whose sum is σ = 306202830336. Its totient is φ = 21344993280.

The previous prime is 87643153193. The next prime is 87643153201. The reversal of 87643153200 is 235134678.

It is not an unprimeable number, because it can be changed into a prime (87643153201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 111363207 + ... + 111363993.

Almost surely, 2^87643153200 is an apocalyptic number.

87643153200 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 87643153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153101415168).

87643153200 is an abundant number, since it is smaller than the sum of its proper divisors (218559677136).

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

87643153200 is a wasteful number, since it uses less digits than its factorization.

87643153200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

Adding to 87643153200 its reverse (235134678), we get a palindrome (87878287878).

The spelling of 87643153200 in words is "eighty-seven billion, six hundred forty-three million, one hundred fifty-three thousand, two hundred".