86550857424 has 160 divisors (see below), whose sum is σ = 251914233600. Its totient is φ = 28802801664.

The previous prime is 86550857423. The next prime is 86550857507. The reversal of 86550857424 is 42475805568.

86550857424 is a `hidden beast` number, since 8 + 6 + 550 + 85 + 7 + 4 + 2 + 4 = 666.

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 (86550857423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25997392 + ... + 26000720.

It is an arithmetic number, because the mean of its divisors is an integer number (1574463960).

Almost surely, 2^86550857424 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 86550857424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125957116800).

86550857424 is an abundant number, since it is smaller than the sum of its proper divisors (165363376176).

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

86550857424 is an equidigital number, since it uses as much as digits as its factorization.

86550857424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 86550857424 in words is "eighty-six billion, five hundred fifty million, eight hundred fifty-seven thousand, four hundred twenty-four".