87044893800 has 384 divisors, whose sum is σ = 305980416000. Its totient is φ = 20353766400.

The previous prime is 87044893753. The next prime is 87044893847. The reversal of 87044893800 is 839844078.

It is an interprime number because it is at equal distance from previous prime (87044893753) and next prime (87044893847).

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, 8122846 + ... + 8133554.

It is an arithmetic number, because the mean of its divisors is an integer number (796824000).

Almost surely, 2^87044893800 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 87044893800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208000).

87044893800 is an abundant number, since it is smaller than the sum of its proper divisors (218935522200).

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

87044893800 is a wasteful number, since it uses less digits than its factorization.

87044893800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10801 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 87044893800 in words is "eighty-seven billion, forty-four million, eight hundred ninety-three thousand, eight hundred".