8487248179200 has 1248 divisors, whose sum is σ = 33708098067456. Its totient is φ = 1842091130880.

The previous prime is 8487248179169. The next prime is 8487248179217. The reversal of 8487248179200 is 29718427848.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7765093854 + ... + 7765094946.

Almost surely, 2^{8487248179200} is an apocalyptic number.

8487248179200 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 8487248179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854049033728).

8487248179200 is an abundant number, since it is smaller than the sum of its proper divisors (25220849888256).

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

8487248179200 is a wasteful number, since it uses less digits than its factorization.

8487248179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 8487248179200 in words is "eight trillion, four hundred eighty-seven billion, two hundred forty-eight million, one hundred seventy-nine thousand, two hundred".