87590896800 has 1152 divisors, whose sum is σ = 348457697280. Its totient is φ = 18869760000.

The previous prime is 87590896787. The next prime is 87590896823. The reversal of 87590896800 is 869809578.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 668632735 + ... + 668632865.

It is an arithmetic number, because the mean of its divisors is an integer number (302480640).

Almost surely, 2^87590896800 is an apocalyptic number.

87590896800 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 87590896800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174228848640).

87590896800 is an abundant number, since it is smaller than the sum of its proper divisors (260866800480).

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

87590896800 is a wasteful number, since it uses less digits than its factorization.

87590896800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 87590896800 in words is "eighty-seven billion, five hundred ninety million, eight hundred ninety-six thousand, eight hundred".