87191673600 has 108 divisors (see below), whose sum is σ = 287750751176. Its totient is φ = 23251107840.

The previous prime is 87191673587. The next prime is 87191673631. The reversal of 87191673600 is 637619178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 87191673600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2251417 + ... + 2289816.

Almost surely, 2^87191673600 is an apocalyptic number.

87191673600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87191673600 is an abundant number, since it is smaller than the sum of its proper divisors (200559077576).

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

87191673600 is a wasteful number, since it uses less digits than its factorization.

87191673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541262 (or 4541243 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 87191673600 in words is "eighty-seven billion, one hundred ninety-one million, six hundred seventy-three thousand, six hundred".