87091219200 has 216 divisors, whose sum is σ = 291361105168. Its totient is φ = 22905815040.

The previous prime is 87091219099. The next prime is 87091219279. The reversal of 87091219200 is 291219078.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1370532 + ... + 1432668.

Almost surely, 2^87091219200 is an apocalyptic number.

87091219200 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 87091219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145680552584).

87091219200 is an abundant number, since it is smaller than the sum of its proper divisors (204269885968).

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

87091219200 is a wasteful number, since it uses less digits than its factorization.

87091219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62239 (or 62220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 87091219200 in words is "eighty-seven billion, ninety-one million, two hundred nineteen thousand, two hundred".