87673957200 has 960 divisors, whose sum is σ = 356864659200. Its totient is φ = 20304691200.

The previous prime is 87673957193. The next prime is 87673957201. The reversal of 87673957200 is 275937678.

87673957200 is a `hidden beast` number, since 8 + 7 + 67 + 3 + 9 + 572 + 0 + 0 = 666.

It is a super-2 number, since 2×87673957200² (a number of 23 digits) contains 22 as substring.

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 (87673957201) 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 191 ways as a sum of consecutive naturals, for example, 143024094 + ... + 143024706.

It is an arithmetic number, because the mean of its divisors is an integer number (371734020).

Almost surely, 2^87673957200 is an apocalyptic number.

87673957200 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 87673957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178432329600).

87673957200 is an abundant number, since it is smaller than the sum of its proper divisors (269190702000).

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

87673957200 is a wasteful number, since it uses less digits than its factorization.

87673957200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 87673957200 in words is "eighty-seven billion, six hundred seventy-three million, nine hundred fifty-seven thousand, two hundred".