87867187200 has 1008 divisors, whose sum is σ = 358639597680. Its totient is φ = 20384317440.

The previous prime is 87867187189. The next prime is 87867187211. The reversal of 87867187200 is 278176878.

It is an interprime number because it is at equal distance from previous prime (87867187189) and next prime (87867187211).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 455270304 + ... + 455270496.

Almost surely, 2^87867187200 is an apocalyptic number.

87867187200 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 87867187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179319798840).

87867187200 is an abundant number, since it is smaller than the sum of its proper divisors (270772410480).

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

87867187200 is a wasteful number, since it uses less digits than its factorization.

87867187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 87867187200 in words is "eighty-seven billion, eight hundred sixty-seven million, one hundred eighty-seven thousand, two hundred".