86385499584400 has 135 divisors (see below), whose sum is σ = 208167834005523. Its totient is φ = 34450177132800.

The previous prime is 86385499584353. The next prime is 86385499584479. The reversal of 86385499584400 is 448599458368.

The square root of 86385499584400 is 9294380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5096089532304 + 81289410052096 = 2257452^2 + 9016064^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100565191171 + ... + 100565192029.

Almost surely, 2^{86385499584400} is an apocalyptic number.

86385499584400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86385499584400 is the 9294380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86385499584400

86385499584400 is an abundant number, since it is smaller than the sum of its proper divisors (121782334421123).

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

86385499584400 is an frugal number, since it uses more digits than its factorization.

86385499584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2818 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1194393600, while the sum is 73.

The spelling of 86385499584400 in words is "eighty-six trillion, three hundred eighty-five billion, four hundred ninety-nine million, five hundred eighty-four thousand, four hundred".