86352935004 has 480 divisors, whose sum is σ = 291375705600. Its totient is φ = 21977464320.

The previous prime is 86352935003. The next prime is 86352935017. The reversal of 86352935004 is 40053925368.

86352935004 is a `hidden beast` number, since 8 + 6 + 3 + 52 + 93 + 500 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86352935003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83755969 + ... + 83756999.

It is an arithmetic number, because the mean of its divisors is an integer number (607032720).

Almost surely, 2^86352935004 is an apocalyptic number.

86352935004 is a gapful number since it is divisible by the number (84) 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 86352935004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145687852800).

86352935004 is an abundant number, since it is smaller than the sum of its proper divisors (205022770596).

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

86352935004 is a wasteful number, since it uses less digits than its factorization.

86352935004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 86352935004 in words is "eighty-six billion, three hundred fifty-two million, nine hundred thirty-five thousand, four".