87368766800 has 120 divisors (see below), whose sum is σ = 239982949632. Its totient is φ = 29943360000.

The previous prime is 87368766739. The next prime is 87368766811. The reversal of 87368766800 is 866786378.

It is a self number, because there is not a number n which added to its sum of digits gives 87368766800.

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 23 ways as a sum of consecutive naturals, for example, 10358585 + ... + 10367015.

Almost surely, 2^87368766800 is an apocalyptic number.

87368766800 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 87368766800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119991474816).

87368766800 is an abundant number, since it is smaller than the sum of its proper divisors (152614182832).

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

87368766800 is a wasteful number, since it uses less digits than its factorization.

87368766800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12157 (or 12146 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 59.

The spelling of 87368766800 in words is "eighty-seven billion, three hundred sixty-eight million, seven hundred sixty-six thousand, eight hundred".