87485299200 has 360 divisors, whose sum is σ = 337175026188. Its totient is φ = 21534474240.

The previous prime is 87485299199. The next prime is 87485299217. The reversal of 87485299200 is 299258478.

87485299200 is a `hidden beast` number, since 8 + 74 + 85 + 299 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 35566942464 + 51918356736 = 188592^2 + 227856^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×87485299200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1468392 + ... + 1526808.

Almost surely, 2^87485299200 is an apocalyptic number.

87485299200 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 87485299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168587513094).

87485299200 is an abundant number, since it is smaller than the sum of its proper divisors (249689726988).

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

87485299200 is a wasteful number, since it uses less digits than its factorization.

87485299200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58464 (or 58440 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 87485299200 in words is "eighty-seven billion, four hundred eighty-five million, two hundred ninety-nine thousand, two hundred".