84086357600 has 144 divisors (see below), whose sum is σ = 234722476800. Its totient is φ = 28814676480.

The previous prime is 84086357599. The next prime is 84086357609. The reversal of 84086357600 is 675368048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84086357609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19928291 + ... + 19932509.

It is an arithmetic number, because the mean of its divisors is an integer number (1630017200).

Almost surely, 2^84086357600 is an apocalyptic number.

84086357600 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 84086357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117361238400).

84086357600 is an abundant number, since it is smaller than the sum of its proper divisors (150636119200).

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

84086357600 is a wasteful number, since it uses less digits than its factorization.

84086357600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7805 (or 7792 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 84086357600 in words is "eighty-four billion, eighty-six million, three hundred fifty-seven thousand, six hundred".