86333637120 has 160 divisors (see below), whose sum is σ = 279886907520. Its totient is φ = 22697902080.

The previous prime is 86333637107. The next prime is 86333637121. The reversal of 86333637120 is 2173633368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (86333637121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 466116 + ... + 624444.

It is an arithmetic number, because the mean of its divisors is an integer number (1749293172).

Almost surely, 2^86333637120 is an apocalyptic number.

86333637120 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 86333637120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139943453760).

86333637120 is an abundant number, since it is smaller than the sum of its proper divisors (193553270400).

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

86333637120 is a wasteful number, since it uses less digits than its factorization.

86333637120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158426 (or 158410 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 86333637120 in words is "eighty-six billion, three hundred thirty-three million, six hundred thirty-seven thousand, one hundred twenty".