86448163680 has 288 divisors, whose sum is σ = 308914953984. Its totient is φ = 22827972096.

The previous prime is 86448163663. The next prime is 86448163723. The reversal of 86448163680 is 8636184468.

86448163680 is a `hidden beast` number, since 86 + 4 + 481 + 6 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×86448163680² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3993847 + ... + 4015433.

It is an arithmetic number, because the mean of its divisors is an integer number (1072621368).

Almost surely, 2^86448163680 is an apocalyptic number.

86448163680 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 86448163680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154457476992).

86448163680 is an abundant number, since it is smaller than the sum of its proper divisors (222466790304).

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

86448163680 is a wasteful number, since it uses less digits than its factorization.

86448163680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21720 (or 21700 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86448163680 in words is "eighty-six billion, four hundred forty-eight million, one hundred sixty-three thousand, six hundred eighty".