86881305600 has 396 divisors, whose sum is σ = 312094978884. Its totient is φ = 23092592640.

The previous prime is 86881305551. The next prime is 86881305617. The reversal of 86881305600 is 650318868.

86881305600 is a `hidden beast` number, since 8 + 6 + 8 + 8 + 1 + 30 + 5 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 78004224 + 86803301376 = 8832^2 + 294624^2 .

It is a super-2 number, since 2×86881305600² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128332462 + ... + 128333138.

Almost surely, 2^86881305600 is an apocalyptic number.

86881305600 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 86881305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156047489442).

86881305600 is an abundant number, since it is smaller than the sum of its proper divisors (225213673284).

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

86881305600 is a wasteful number, since it uses less digits than its factorization.

86881305600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 86881305600 in words is "eighty-six billion, eight hundred eighty-one million, three hundred five thousand, six hundred".