86688284800 has 384 divisors, whose sum is σ = 240494763600. Its totient is φ = 30656102400.

The previous prime is 86688284797. The next prime is 86688284801. The reversal of 86688284800 is 848288668.

It can be written as a sum of positive squares in 24 ways, for example, as 25900396096 + 60787888704 = 160936^2 + 246552^2 .

It is a super-2 number, since 2×86688284800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (86688284801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 218358202 + ... + 218358598.

Almost surely, 2^86688284800 is an apocalyptic number.

86688284800 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 86688284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120247381800).

86688284800 is an abundant number, since it is smaller than the sum of its proper divisors (153806478800).

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

86688284800 is a wasteful number, since it uses less digits than its factorization.

86688284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 58.

The spelling of 86688284800 in words is "eighty-six billion, six hundred eighty-eight million, two hundred eighty-four thousand, eight hundred".