86100326400 has 576 divisors, whose sum is σ = 313686172800. Its totient is φ = 20660224000.

The previous prime is 86100326357. The next prime is 86100326449. The reversal of 86100326400 is 462300168.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221337406 + ... + 221337794.

It is an arithmetic number, because the mean of its divisors is an integer number (544594050).

Almost surely, 2^86100326400 is an apocalyptic number.

86100326400 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 86100326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156843086400).

86100326400 is an abundant number, since it is smaller than the sum of its proper divisors (227585846400).

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

86100326400 is a wasteful number, since it uses less digits than its factorization.

86100326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 86100326400 its reverse (462300168), we get a palindrome (86562626568).

The spelling of 86100326400 in words is "eighty-six billion, one hundred million, three hundred twenty-six thousand, four hundred".