86363133120 has 672 divisors, whose sum is σ = 347007338496. Its totient is φ = 20254924800.

The previous prime is 86363133079. The next prime is 86363133127. The reversal of 86363133120 is 2133136368.

86363133120 is a `hidden beast` number, since 8 + 6 + 3 + 631 + 3 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86363133127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26514532 + ... + 26517788.

It is an arithmetic number, because the mean of its divisors is an integer number (516379968).

Almost surely, 2^86363133120 is an apocalyptic number.

86363133120 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 86363133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173503669248).

86363133120 is an abundant number, since it is smaller than the sum of its proper divisors (260644205376).

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

86363133120 is a wasteful number, since it uses less digits than its factorization.

86363133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 86363133120 its reverse (2133136368), we get a palindrome (88496269488).

The spelling of 86363133120 in words is "eighty-six billion, three hundred sixty-three million, one hundred thirty-three thousand, one hundred twenty".