87895368000 has 1680 divisors, whose sum is σ = 382601419200. Its totient is φ = 19844352000.

The previous prime is 87895367993. The next prime is 87895368031. The reversal of 87895368000 is 86359878.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1489751971 + ... + 1489752029.

It is an arithmetic number, because the mean of its divisors is an integer number (227738940).

Almost surely, 2^87895368000 is an apocalyptic number.

87895368000 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 87895368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191300709600).

87895368000 is an abundant number, since it is smaller than the sum of its proper divisors (294706051200).

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

87895368000 is a wasteful number, since it uses less digits than its factorization.

87895368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 87895368000 in words is "eighty-seven billion, eight hundred ninety-five million, three hundred sixty-eight thousand".