87112996200 has 144 divisors (see below), whose sum is σ = 295239129900. Its totient is φ = 23016960000.

The previous prime is 87112996183. The next prime is 87112996247. The reversal of 87112996200 is 269921178.

87112996200 is a `hidden beast` number, since 8 + 7 + 1 + 12 + 9 + 9 + 620 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 28642854564 + 58470141636 = 169242^2 + 241806^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 25801 + ... + 418200.

Almost surely, 2^87112996200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87112996200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147619564950).

87112996200 is an abundant number, since it is smaller than the sum of its proper divisors (208126133700).

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

87112996200 is a wasteful number, since it uses less digits than its factorization.

87112996200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444132 (or 444120 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 87112996200 in words is "eighty-seven billion, one hundred twelve million, nine hundred ninety-six thousand, two hundred".