87484559500800 has 3840 divisors, whose sum is σ = 413148642508800. Its totient is φ = 17605892505600.

The previous prime is 87484559500757. The next prime is 87484559500823. The reversal of 87484559500800 is 800595548478.

87484559500800 is a `hidden beast` number, since 8 + 7 + 4 + 8 + 45 + 5 + 9 + 500 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 141332082891 + ... + 141332083509.

It is an arithmetic number, because the mean of its divisors is an integer number (107590792320).

Almost surely, 2^{87484559500800} is an apocalyptic number.

87484559500800 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 87484559500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206574321254400).

87484559500800 is an abundant number, since it is smaller than the sum of its proper divisors (325664083008000).

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

87484559500800 is a wasteful number, since it uses less digits than its factorization.

87484559500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 87484559500800 in words is "eighty-seven trillion, four hundred eighty-four billion, five hundred fifty-nine million, five hundred thousand, eight hundred".