86998329600 has 1728 divisors, whose sum is σ = 390889981440. Its totient is φ = 16515072000.

The previous prime is 86998329589. The next prime is 86998329653. The reversal of 86998329600 is 692389968.

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 191 ways as a sum of consecutive naturals, for example, 861369550 + ... + 861369650.

It is an arithmetic number, because the mean of its divisors is an integer number (226209480).

Almost surely, 2^86998329600 is an apocalyptic number.

86998329600 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 86998329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195444990720).

86998329600 is an abundant number, since it is smaller than the sum of its proper divisors (303891651840).

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

86998329600 is a wasteful number, since it uses less digits than its factorization.

86998329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 86998329600 in words is "eighty-six billion, nine hundred ninety-eight million, three hundred twenty-nine thousand, six hundred".