86193545600 has 384 divisors, whose sum is σ = 233310067200. Its totient is φ = 31352832000.

The previous prime is 86193545597. The next prime is 86193545609. The reversal of 86193545600 is 654539168.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86193545609) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176988557 + ... + 176989043.

It is an arithmetic number, because the mean of its divisors is an integer number (607578300).

Almost surely, 2^86193545600 is an apocalyptic number.

86193545600 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 86193545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116655033600).

86193545600 is an abundant number, since it is smaller than the sum of its proper divisors (147116521600).

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

86193545600 is a wasteful number, since it uses less digits than its factorization.

86193545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 47.

The spelling of 86193545600 in words is "eighty-six billion, one hundred ninety-three million, five hundred forty-five thousand, six hundred".