86848030720 has 288 divisors, whose sum is σ = 237046937400. Its totient is φ = 30479482880.

The previous prime is 86848030631. The next prime is 86848030729. The reversal of 86848030720 is 2703084868.

It can be written as a sum of positive squares in 4 ways, for example, as 85151908864 + 1696121856 = 291808^2 + 41184^2 .

It is not an unprimeable number, because it can be changed into a prime (86848030729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35930952 + ... + 35933368.

Almost surely, 2^86848030720 is an apocalyptic number.

86848030720 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 86848030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118523468700).

86848030720 is an abundant number, since it is smaller than the sum of its proper divisors (150198906680).

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

86848030720 is a wasteful number, since it uses less digits than its factorization.

86848030720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 86848030720 in words is "eighty-six billion, eight hundred forty-eight million, thirty thousand, seven hundred twenty".