87563980800 has 1248 divisors, whose sum is σ = 359795900160. Its totient is φ = 21021327360.

The previous prime is 87563980799. The next prime is 87563980831. The reversal of 87563980800 is 808936578.

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 (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3807129589 + ... + 3807129611.

Almost surely, 2^87563980800 is an apocalyptic number.

87563980800 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 87563980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179897950080).

87563980800 is an abundant number, since it is smaller than the sum of its proper divisors (272231919360).

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

87563980800 is an equidigital number, since it uses as much as digits as its factorization.

87563980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 50 counting only the distinct ones).

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

The spelling of 87563980800 in words is "eighty-seven billion, five hundred sixty-three million, nine hundred eighty thousand, eight hundred".