87449888127168 has 1008 divisors, whose sum is σ = 312621062929344. Its totient is φ = 23221842739200.

The previous prime is 87449888127167. The next prime is 87449888127181. The reversal of 87449888127168 is 86172188894478.

87449888127168 is a `hidden beast` number, since 8 + 7 + 449 + 8 + 8 + 8 + 1 + 2 + 7 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (87449888127167) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12534020896 + ... + 12534027872.

Almost surely, 2^{87449888127168} 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 87449888127168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156310531464672).

87449888127168 is an abundant number, since it is smaller than the sum of its proper divisors (225171174802176).

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

87449888127168 is a wasteful number, since it uses less digits than its factorization.

87449888127168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7330 counting only the distinct ones).

The product of its digits is 2774532096, while the sum is 81.

The spelling of 87449888127168 in words is "eighty-seven trillion, four hundred forty-nine billion, eight hundred eighty-eight million, one hundred twenty-seven thousand, one hundred sixty-eight".