86085014400 has 864 divisors, whose sum is σ = 385977118800. Its totient is φ = 17882726400.

The previous prime is 86085014293. The next prime is 86085014401. The reversal of 86085014400 is 441058068.

86085014400 is a `hidden beast` number, since 8 + 608 + 5 + 0 + 1 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86085014401) 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 107 ways as a sum of consecutive naturals, for example, 24391836 + ... + 24395364.

Almost surely, 2^86085014400 is an apocalyptic number.

86085014400 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 86085014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192988559400).

86085014400 is an abundant number, since it is smaller than the sum of its proper divisors (299892104400).

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

86085014400 is a wasteful number, since it uses less digits than its factorization.

86085014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 86085014400 in words is "eighty-six billion, eighty-five million, fourteen thousand, four hundred".