86646849120 has 384 divisors, whose sum is σ = 343785254400. Its totient is φ = 20205656064.

The previous prime is 86646849071. The next prime is 86646849127. The reversal of 86646849120 is 2194864668.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86646849127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026439 + ... + 1107641.

It is an arithmetic number, because the mean of its divisors is an integer number (895274100).

Almost surely, 2^86646849120 is an apocalyptic number.

86646849120 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 86646849120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171892627200).

86646849120 is an abundant number, since it is smaller than the sum of its proper divisors (257138405280).

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

86646849120 is a wasteful number, since it uses less digits than its factorization.

86646849120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81259 (or 81245 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 86646849120 in words is "eighty-six billion, six hundred forty-six million, eight hundred forty-nine thousand, one hundred twenty".