87785351808000 has 4224 divisors, whose sum is σ = 399766672581120. Its totient is φ = 16845373440000.

The previous prime is 87785351807987. The next prime is 87785351808023. The reversal of 87785351808000 is 80815358778.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 214634111796 + ... + 214634112204.

Almost surely, 2^{87785351808000} is an apocalyptic number.

87785351808000 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 87785351808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199883336290560).

87785351808000 is an abundant number, since it is smaller than the sum of its proper divisors (311981320773120).

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

87785351808000 is a wasteful number, since it uses less digits than its factorization.

87785351808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 60.

The spelling of 87785351808000 in words is "eighty-seven trillion, seven hundred eighty-five billion, three hundred fifty-one million, eight hundred eight thousand".