86433157300 has 144 divisors (see below), whose sum is σ = 221985792000. Its totient is φ = 28581396480.

The previous prime is 86433157277. The next prime is 86433157333. The reversal of 86433157300 is 375133468.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25962036 + ... + 25965364.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568000).

Almost surely, 2^86433157300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86433157300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110992896000).

86433157300 is an abundant number, since it is smaller than the sum of its proper divisors (135552634700).

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

86433157300 is a wasteful number, since it uses less digits than its factorization.

86433157300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4658 (or 4651 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The spelling of 86433157300 in words is "eighty-six billion, four hundred thirty-three million, one hundred fifty-seven thousand, three hundred".