108587404800 has 1080 divisors, whose sum is σ = 475586922096. Its totient is φ = 23097507840.

The previous prime is 108587404781. The next prime is 108587404829. The reversal of 108587404800 is 8404785801.

108587404800 is a `hidden beast` number, since 10 + 85 + 87 + 4 + 0 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 107 ways as a sum of consecutive naturals, for example, 1220083156 + ... + 1220083244.

Almost surely, 2^108587404800 is an apocalyptic number.

108587404800 is a gapful number since it is divisible by the number (10) 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 108587404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237793461048).

108587404800 is an abundant number, since it is smaller than the sum of its proper divisors (366999517296).

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

108587404800 is an equidigital number, since it uses as much as digits as its factorization.

108587404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 108587404800 in words is "one hundred eight billion, five hundred eighty-seven million, four hundred four thousand, eight hundred".