87895695888 has 600 divisors, whose sum is σ = 347701495680. Its totient is φ = 21071715840.

The previous prime is 87895695887. The next prime is 87895695907. The reversal of 87895695888 is 88859659878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (87895695887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9076233 + ... + 9085911.

Almost surely, 2^87895695888 is an apocalyptic number.

87895695888 is a gapful number since it is divisible by the number (88) 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 87895695888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173850747840).

87895695888 is an abundant number, since it is smaller than the sum of its proper divisors (259805799792).

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

87895695888 is a wasteful number, since it uses less digits than its factorization.

87895695888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9737 (or 9715 counting only the distinct ones).

The product of its digits is 2786918400, while the sum is 81.

The spelling of 87895695888 in words is "eighty-seven billion, eight hundred ninety-five million, six hundred ninety-five thousand, eight hundred eighty-eight".