86730529248 has 384 divisors, whose sum is σ = 297271296000. Its totient is φ = 24326438400.

The previous prime is 86730529189. The next prime is 86730529267. The reversal of 86730529248 is 84292503768.

86730529248 is a `hidden beast` number, since 8 + 6 + 7 + 305 + 292 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 86730529194 and 86730529203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6769953 + ... + 6782751.

It is an arithmetic number, because the mean of its divisors is an integer number (774144000).

Almost surely, 2^86730529248 is an apocalyptic number.

86730529248 is a gapful number since it is divisible by the number (88) 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 86730529248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148635648000).

86730529248 is an abundant number, since it is smaller than the sum of its proper divisors (210540766752).

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

86730529248 is a wasteful number, since it uses less digits than its factorization.

86730529248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12883 (or 12869 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 86730529248 in words is "eighty-six billion, seven hundred thirty million, five hundred twenty-nine thousand, two hundred forty-eight".