86399913600 has 2688 divisors, whose sum is σ = 441270506880. Its totient is φ = 16124313600.

The previous prime is 86399913577. The next prime is 86399913617. The reversal of 86399913600 is 631999368.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2335132782 + ... + 2335132818.

It is an arithmetic number, because the mean of its divisors is an integer number (164163135).

Almost surely, 2^86399913600 is an apocalyptic number.

86399913600 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 86399913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220635253440).

86399913600 is an abundant number, since it is smaller than the sum of its proper divisors (354870593280).

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

86399913600 is a wasteful number, since it uses less digits than its factorization.

86399913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

It can be divided in two parts, 86399 and 913600, that added together give a palindrome (999999).

The spelling of 86399913600 in words is "eighty-six billion, three hundred ninety-nine million, nine hundred thirteen thousand, six hundred".